Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3101790057', 'doi': 'https://doi.org/10.1007/jhep04(2011)088', 'title': 'An operator product expansion for polygonal null Wilson loops', 'display_name': 'An operator product expansion for polygonal null Wilson loops', 'publication_year': 2011, 'publication_date': '2011-04-01', 'ids': {'openalex': 'https://openalex.org/W3101790057', 'doi': 'https://doi.org/10.1007/jhep04(2011)088', 'mag': '3101790057'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/jhep04(2011)088', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S187585107', 'display_name': 'Journal of High Energy Physics', 'issn_l': '1029-8479', 'issn': ['1029-8479', '1126-6708', '1127-2236'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/1006.2788', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5015848515', 'display_name': 'Luis F. Alday', 'orcid': 'https://orcid.org/0000-0001-8379-6822'}, 'institutions': [{'id': 'https://openalex.org/I40036882', 'display_name': 'Institute for Advanced Study', 'ror': 'https://ror.org/00f809463', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I40036882']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Luis F. Alday', 'raw_affiliation_strings': ['School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA'], 'affiliations': [{'raw_affiliation_string': 'School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA', 'institution_ids': ['https://openalex.org/I40036882']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5073094778', 'display_name': 'Davide Gaiotto', 'orcid': 'https://orcid.org/0000-0003-3077-3509'}, 'institutions': [{'id': 'https://openalex.org/I40036882', 'display_name': 'Institute for Advanced Study', 'ror': 'https://ror.org/00f809463', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I40036882']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Davide Gaiotto', 'raw_affiliation_strings': ['School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA'], 'affiliations': [{'raw_affiliation_string': 'School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA', 'institution_ids': ['https://openalex.org/I40036882']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5064341086', 'display_name': 'Juan Maldacena', 'orcid': 'https://orcid.org/0000-0002-9127-1687'}, 'institutions': [{'id': 'https://openalex.org/I40036882', 'display_name': 'Institute for Advanced Study', 'ror': 'https://ror.org/00f809463', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I40036882']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Juan Maldacena', 'raw_affiliation_strings': ['School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA'], 'affiliations': [{'raw_affiliation_string': 'School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA', 'institution_ids': ['https://openalex.org/I40036882']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5079023878', 'display_name': 'Amit Sever', 'orcid': 'https://orcid.org/0000-0002-1389-2517'}, 'institutions': [{'id': 'https://openalex.org/I183974707', 'display_name': 'Perimeter Institute', 'ror': 'https://ror.org/013m0ej23', 'country_code': 'CA', 'type': 'facility', 'lineage': ['https://openalex.org/I183974707']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Amit Sever', 'raw_affiliation_strings': ['Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2J 2W9, Canada'], 'affiliations': [{'raw_affiliation_string': 'Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2J 2W9, Canada', 'institution_ids': ['https://openalex.org/I183974707']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5113786972', 'display_name': 'Pedro Vieira', 'orcid': 'https://orcid.org/0000-0002-4084-3737'}, 'institutions': [{'id': 'https://openalex.org/I183974707', 'display_name': 'Perimeter Institute', 'ror': 'https://ror.org/013m0ej23', 'country_code': 'CA', 'type': 'facility', 'lineage': ['https://openalex.org/I183974707']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Pedro Vieira', 'raw_affiliation_strings': ['Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2J 2W9, Canada'], 'affiliations': [{'raw_affiliation_string': 'Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2J 2W9, Canada', 'institution_ids': ['https://openalex.org/I183974707']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 12.068, 'has_fulltext': False, 'cited_by_count': 203, 'citation_normalized_percentile': {'value': 0.999913, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '2011', 'issue': '4', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10224', 'display_name': 'Quantum Chromodynamics and Particle Interactions', 'score': 0.9983, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10048', 'display_name': 'Particle physics theoretical and experimental studies', 'score': 0.9979, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/operator-product-expansion', 'display_name': 'Operator product expansion', 'score': 0.8486891}, {'id': 'https://openalex.org/keywords/null', 'display_name': 'Null (SQL)', 'score': 0.7231556}, {'id': 'https://openalex.org/keywords/wilson-loop', 'display_name': 'Wilson loop', 'score': 0.71408373}, {'id': 'https://openalex.org/keywords/polygon', 'display_name': 'Polygon (computer graphics)', 'score': 0.66822934}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.54073936}, {'id': 'https://openalex.org/keywords/yang–mills-theory', 'display_name': 'Yang–Mills theory', 'score': 0.50305146}, {'id': 'https://openalex.org/keywords/flux-tube', 'display_name': 'Flux tube', 'score': 0.49183536}], 'concepts': [{'id': 'https://openalex.org/C18199665', 'wikidata': 'https://www.wikidata.org/wiki/Q3883909', 'display_name': 'Operator product expansion', 'level': 2, 'score': 0.8486891}, {'id': 'https://openalex.org/C203763787', 'wikidata': 'https://www.wikidata.org/wiki/Q371029', 'display_name': 'Null (SQL)', 'level': 2, 'score': 0.7231556}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.7221376}, {'id': 'https://openalex.org/C2776482091', 'wikidata': 'https://www.wikidata.org/wiki/Q206552', 'display_name': 'Wilson loop', 'level': 3, 'score': 0.71408373}, {'id': 'https://openalex.org/C190694206', 'wikidata': 'https://www.wikidata.org/wiki/Q3276654', 'display_name': 'Polygon (computer graphics)', 'level': 3, 'score': 0.66822934}, {'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.6064675}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.6002888}, {'id': 'https://openalex.org/C131584629', 'wikidata': 'https://www.wikidata.org/wiki/Q4308705', 'display_name': 'Coupling (piping)', 'level': 2, 'score': 0.577362}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.54073936}, {'id': 'https://openalex.org/C181830111', 'wikidata': 'https://www.wikidata.org/wiki/Q214850', 'display_name': 'Gauge theory', 'level': 2, 'score': 0.5231503}, {'id': 'https://openalex.org/C151201525', 'wikidata': 'https://www.wikidata.org/wiki/Q177239', 'display_name': 'Limit (mathematics)', 'level': 2, 'score': 0.5096898}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.50342673}, {'id': 'https://openalex.org/C103766332', 'wikidata': 'https://www.wikidata.org/wiki/Q1192873', 'display_name': 'Yang–Mills theory', 'level': 3, 'score': 0.50305146}, {'id': 'https://openalex.org/C40976572', 'wikidata': 'https://www.wikidata.org/wiki/Q2330873', 'display_name': 'Gauge (firearms)', 'level': 2, 'score': 0.4942315}, {'id': 'https://openalex.org/C2780379797', 'wikidata': 'https://www.wikidata.org/wiki/Q1054555', 'display_name': 'Flux tube', 'level': 4, 'score': 0.49183536}, {'id': 'https://openalex.org/C134786449', 'wikidata': 'https://www.wikidata.org/wiki/Q3391255', 'display_name': 'Planar', 'level': 2, 'score': 0.44213846}, {'id': 'https://openalex.org/C90673727', 'wikidata': 'https://www.wikidata.org/wiki/Q901718', 'display_name': 'Product (mathematics)', 'level': 2, 'score': 0.41979593}, {'id': 'https://openalex.org/C65266758', 'wikidata': 'https://www.wikidata.org/wiki/Q3984151', 'display_name': 'Supersymmetric gauge theory', 'level': 3, 'score': 0.4149389}, {'id': 'https://openalex.org/C42704618', 'wikidata': 'https://www.wikidata.org/wiki/Q910917', 'display_name': 'Spin (aerodynamics)', 'level': 2, 'score': 0.4113561}, {'id': 'https://openalex.org/C33332235', 'wikidata': 'https://www.wikidata.org/wiki/Q18362', 'display_name': 'Theoretical physics', 'level': 1, 'score': 0.37845057}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.28287357}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.230338}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.19677043}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.16485783}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.15656567}, {'id': 'https://openalex.org/C157479481', 'wikidata': 'https://www.wikidata.org/wiki/Q177831', 'display_name': 'Magnetic flux', 'level': 3, 'score': 0.090396166}, {'id': 'https://openalex.org/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C77088390', 'wikidata': 'https://www.wikidata.org/wiki/Q8513', 'display_name': 'Database', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C121684516', 'wikidata': 'https://www.wikidata.org/wiki/Q7600677', 'display_name': 'Computer graphics (images)', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C95457728', 'wikidata': 'https://www.wikidata.org/wiki/Q309', 'display_name': 'History', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C166957645', 'wikidata': 'https://www.wikidata.org/wiki/Q23498', 'display_name': 'Archaeology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C76155785', 'wikidata': 'https://www.wikidata.org/wiki/Q418', 'display_name': 'Telecommunications', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C115260700', 'wikidata': 'https://www.wikidata.org/wiki/Q11408', 'display_name': 'Magnetic field', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78519656', 'wikidata': 'https://www.wikidata.org/wiki/Q101333', 'display_name': 'Mechanical engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C126042441', 'wikidata': 'https://www.wikidata.org/wiki/Q1324888', 'display_name': 'Frame (networking)', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/jhep04(2011)088', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S187585107', 'display_name': 'Journal of High Energy Physics', 'issn_l': '1029-8479', 'issn': ['1029-8479', '1126-6708', '1127-2236'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1006.2788', 'pdf_url': 'https://arxiv.org/pdf/1006.2788', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'https://arxiv.org/pdf/1006.2788.pdf', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1006.2788', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1006.2788', 'pdf_url': 'https://arxiv.org/pdf/1006.2788', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2045941068', 'https://openalex.org/W3101790057'], 'referenced_works_count': 43, 'referenced_works': ['https://openalex.org/W1749202833', 'https://openalex.org/W1832734913', 'https://openalex.org/W1893761982', 'https://openalex.org/W1972348207', 'https://openalex.org/W1974085365', 'https://openalex.org/W1983525968', 'https://openalex.org/W2009930506', 'https://openalex.org/W2011115946', 'https://openalex.org/W2021067566', 'https://openalex.org/W2028023696', 'https://openalex.org/W2028330853', 'https://openalex.org/W2030665456', 'https://openalex.org/W2031963717', 'https://openalex.org/W2037170663', 'https://openalex.org/W2052607175', 'https://openalex.org/W2063740862', 'https://openalex.org/W2068283118', 'https://openalex.org/W2076329426', 'https://openalex.org/W2085964098', 'https://openalex.org/W2087800247', 'https://openalex.org/W2093710741', 'https://openalex.org/W2096401239', 'https://openalex.org/W2103220095', 'https://openalex.org/W2109842389', 'https://openalex.org/W2115254496', 'https://openalex.org/W2121122895', 'https://openalex.org/W2132102956', 'https://openalex.org/W2160645918', 'https://openalex.org/W2162364053', 'https://openalex.org/W2172095894', 'https://openalex.org/W2950229993', 'https://openalex.org/W2950738805', 'https://openalex.org/W2951237975', 'https://openalex.org/W2952144713', 'https://openalex.org/W2963350420', 'https://openalex.org/W3099878783', 'https://openalex.org/W3100079212', 'https://openalex.org/W3101718555', 'https://openalex.org/W3102323455', 'https://openalex.org/W3103867515', 'https://openalex.org/W3105201579', 'https://openalex.org/W3106232483', 'https://openalex.org/W3123746676'], 'related_works': ['https://openalex.org/W4388109824', 'https://openalex.org/W3103109706', 'https://openalex.org/W3101790057', 'https://openalex.org/W2962837300', 'https://openalex.org/W2758345965', 'https://openalex.org/W2736213441', 'https://openalex.org/W2594606488', 'https://openalex.org/W2036932802', 'https://openalex.org/W2000858341', 'https://openalex.org/W1554764456'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3101790057', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 16}, {'year': 2020, 'cited_by_count': 7}, {'year': 2019, 'cited_by_count': 9}, {'year': 2018, 'cited_by_count': 7}, {'year': 2017, 'cited_by_count': 7}, {'year': 2016, 'cited_by_count': 13}, {'year': 2015, 'cited_by_count': 14}, {'year': 2014, 'cited_by_count': 10}, {'year': 2013, 'cited_by_count': 16}, {'year': 2012, 'cited_by_count': 15}], 'updated_date': '2024-12-09T18:38:21.591901', 'created_date': '2020-11-23'}