Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2074509106', 'doi': 'https://doi.org/10.1007/jhep11(2011)154', 'title': 'Spinning conformal blocks', 'display_name': 'Spinning conformal blocks', 'publication_year': 2011, 'publication_date': '2011-11-01', 'ids': {'openalex': 'https://openalex.org/W2074509106', 'doi': 'https://doi.org/10.1007/jhep11(2011)154', 'mag': '2074509106'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/jhep11(2011)154', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/JHEP11(2011)154.pdf', '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': 'cc-by-nc', 'license_id': 'https://openalex.org/licenses/cc-by-nc', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'hybrid', 'oa_url': 'https://link.springer.com/content/pdf/10.1007/JHEP11(2011)154.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5043209375', 'display_name': 'Miguel S. Costa', 'orcid': 'https://orcid.org/0000-0003-0992-4747'}, 'institutions': [{'id': 'https://openalex.org/I182534213', 'display_name': 'Universidade do Porto', 'ror': 'https://ror.org/043pwc612', 'country_code': 'PT', 'type': 'education', 'lineage': ['https://openalex.org/I182534213']}], 'countries': ['PT'], 'is_corresponding': True, 'raw_author_name': 'Miguel S. Costa', 'raw_affiliation_strings': ['Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal'], 'affiliations': [{'raw_affiliation_string': 'Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal', 'institution_ids': ['https://openalex.org/I182534213']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5023951660', 'display_name': 'João Penedones', 'orcid': 'https://orcid.org/0000-0003-0345-4836'}, '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': 'João Penedones', 'raw_affiliation_strings': ['Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada'], 'affiliations': [{'raw_affiliation_string': 'Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada', 'institution_ids': ['https://openalex.org/I183974707']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5055038010', 'display_name': 'David Poland', 'orcid': 'https://orcid.org/0000-0003-3854-2430'}, 'institutions': [{'id': 'https://openalex.org/I136199984', 'display_name': 'Harvard University', 'ror': 'https://ror.org/03vek6s52', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I136199984']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'David Poland', 'raw_affiliation_strings': ['Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts, 02138, USA'], 'affiliations': [{'raw_affiliation_string': 'Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts, 02138, USA', 'institution_ids': ['https://openalex.org/I136199984']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5074159858', 'display_name': 'Slava Rychkov', 'orcid': 'https://orcid.org/0000-0002-5847-1011'}, 'institutions': [{'id': 'https://openalex.org/I39804081', 'display_name': 'Sorbonne Université', 'ror': 'https://ror.org/02en5vm52', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I39804081']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Slava Rychkov', 'raw_affiliation_strings': ['Laboratoire de Physique Théorique, École Normale Supérieure, and Faculté de Physique, Université Pierre et Marie Curie, Paris VI, France'], 'affiliations': [{'raw_affiliation_string': 'Laboratoire de Physique Théorique, École Normale Supérieure, and Faculté de Physique, Université Pierre et Marie Curie, Paris VI, France', 'institution_ids': ['https://openalex.org/I39804081']}]}], 'institution_assertions': [], 'countries_distinct_count': 4, 'institutions_distinct_count': 4, 'corresponding_author_ids': ['https://openalex.org/A5043209375'], 'corresponding_institution_ids': ['https://openalex.org/I182534213'], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'fwci': 5.843, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 286, 'citation_normalized_percentile': {'value': 0.999913, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '2011', 'issue': '11', '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': 0.9995, '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': 0.9995, '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/T10037', 'display_name': 'Physics of Superconductivity and Magnetism', 'score': 0.992, 'subfield': {'id': 'https://openalex.org/subfields/3104', 'display_name': 'Condensed Matter 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/T10095', 'display_name': 'Cosmology and Gravitation Theories', 'score': 0.9862, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, '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/conformal-anomaly', 'display_name': 'Conformal anomaly', 'score': 0.75198674}, {'id': 'https://openalex.org/keywords/weyl-transformation', 'display_name': 'Weyl transformation', 'score': 0.7338741}, {'id': 'https://openalex.org/keywords/extremal-length', 'display_name': 'Extremal length', 'score': 0.5484942}, {'id': 'https://openalex.org/keywords/conformal-geometry', 'display_name': 'Conformal geometry', 'score': 0.5158171}, {'id': 'https://openalex.org/keywords/conformal-gravity', 'display_name': 'Conformal gravity', 'score': 0.5040235}, {'id': 'https://openalex.org/keywords/formalism', 'display_name': 'Formalism (music)', 'score': 0.44680607}], 'concepts': [{'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.8056053}, {'id': 'https://openalex.org/C20167640', 'wikidata': 'https://www.wikidata.org/wiki/Q5160243', 'display_name': 'Conformal anomaly', 'level': 4, 'score': 0.75198674}, {'id': 'https://openalex.org/C53216431', 'wikidata': 'https://www.wikidata.org/wiki/Q3997736', 'display_name': 'Weyl transformation', 'level': 4, 'score': 0.7338741}, {'id': 'https://openalex.org/C155765329', 'wikidata': 'https://www.wikidata.org/wiki/Q7243128', 'display_name': 'Primary field', 'level': 4, 'score': 0.7024324}, {'id': 'https://openalex.org/C173848574', 'wikidata': 'https://www.wikidata.org/wiki/Q3507963', 'display_name': 'Conformal symmetry', 'level': 3, 'score': 0.67359924}, {'id': 'https://openalex.org/C54613284', 'wikidata': 'https://www.wikidata.org/wiki/Q1191271', 'display_name': 'Conformal field theory', 'level': 3, 'score': 0.65150344}, {'id': 'https://openalex.org/C3352285', 'wikidata': 'https://www.wikidata.org/wiki/Q5422297', 'display_name': 'Extremal length', 'level': 4, 'score': 0.5484942}, {'id': 'https://openalex.org/C125669323', 'wikidata': 'https://www.wikidata.org/wiki/Q513175', 'display_name': 'Conformal geometry', 'level': 4, 'score': 0.5158171}, {'id': 'https://openalex.org/C24531701', 'wikidata': 'https://www.wikidata.org/wiki/Q5160256', 'display_name': 'Conformal gravity', 'level': 4, 'score': 0.5040235}, {'id': 'https://openalex.org/C73301696', 'wikidata': 'https://www.wikidata.org/wiki/Q5469984', 'display_name': 'Formalism (music)', 'level': 3, 'score': 0.44680607}, {'id': 'https://openalex.org/C41608201', 'wikidata': 'https://www.wikidata.org/wiki/Q980509', 'display_name': 'Embedding', 'level': 2, 'score': 0.4387974}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.3933022}, {'id': 'https://openalex.org/C33332235', 'wikidata': 'https://www.wikidata.org/wiki/Q18362', 'display_name': 'Theoretical physics', 'level': 1, 'score': 0.39126647}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.36513412}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3582601}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.22086063}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.16623607}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.05268833}, {'id': 'https://openalex.org/C142362112', 'wikidata': 'https://www.wikidata.org/wiki/Q735', 'display_name': 'Art', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C558565934', 'wikidata': 'https://www.wikidata.org/wiki/Q2743', 'display_name': 'Musical', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C153349607', 'wikidata': 'https://www.wikidata.org/wiki/Q36649', 'display_name': 'Visual arts', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/jhep11(2011)154', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/JHEP11(2011)154.pdf', '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': 'cc-by-nc', 'license_id': 'https://openalex.org/licenses/cc-by-nc', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-00627957', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00627957', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1109.6321', 'pdf_url': 'http://arxiv.org/pdf/1109.6321', '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.1109.6321', '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://doi.org/10.1007/jhep11(2011)154', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/JHEP11(2011)154.pdf', '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': 'cc-by-nc', 'license_id': 'https://openalex.org/licenses/cc-by-nc', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [{'score': 0.4, 'id': 'https://metadata.un.org/sdg/11', 'display_name': 'Sustainable cities and communities'}], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2074509106', 'https://openalex.org/W3098043029'], 'referenced_works_count': 56, 'referenced_works': ['https://openalex.org/W1491431511', 'https://openalex.org/W1520510487', 'https://openalex.org/W1559907478', 'https://openalex.org/W1569068012', 'https://openalex.org/W1631345926', 'https://openalex.org/W1643783589', 'https://openalex.org/W1645449891', 'https://openalex.org/W1653522820', 'https://openalex.org/W1659048023', 'https://openalex.org/W1811565114', 'https://openalex.org/W1965475689', 'https://openalex.org/W1970089361', 'https://openalex.org/W1970150431', 'https://openalex.org/W1974492747', 'https://openalex.org/W1985777033', 'https://openalex.org/W1985985717', 'https://openalex.org/W2003115626', 'https://openalex.org/W2007292354', 'https://openalex.org/W2009996835', 'https://openalex.org/W2011330932', 'https://openalex.org/W2019638523', 'https://openalex.org/W2023515558', 'https://openalex.org/W2028474293', 'https://openalex.org/W2038409676', 'https://openalex.org/W2058505341', 'https://openalex.org/W2066650208', 'https://openalex.org/W2076962896', 'https://openalex.org/W2077037858', 'https://openalex.org/W2077931943', 'https://openalex.org/W2081265834', 'https://openalex.org/W2085700907', 'https://openalex.org/W2090642265', 'https://openalex.org/W2111517078', 'https://openalex.org/W2113393633', 'https://openalex.org/W2126587407', 'https://openalex.org/W2137132638', 'https://openalex.org/W2137453505', 'https://openalex.org/W2140989671', 'https://openalex.org/W2142261062', 'https://openalex.org/W2164651488', 'https://openalex.org/W2168677765', 'https://openalex.org/W2950068994', 'https://openalex.org/W3098808202', 'https://openalex.org/W3102263251', 'https://openalex.org/W3102551146', 'https://openalex.org/W3102759385', 'https://openalex.org/W3103034020', 'https://openalex.org/W3103746400', 'https://openalex.org/W3103803317', 'https://openalex.org/W3103953857', 'https://openalex.org/W3104130670', 'https://openalex.org/W3105219209', 'https://openalex.org/W3106454759', 'https://openalex.org/W4206688401', 'https://openalex.org/W4210963754', 'https://openalex.org/W4244385681'], 'related_works': ['https://openalex.org/W4294620088', 'https://openalex.org/W3142049200', 'https://openalex.org/W3074681201', 'https://openalex.org/W2166171207', 'https://openalex.org/W2108968960', 'https://openalex.org/W2074509106', 'https://openalex.org/W2066984335', 'https://openalex.org/W2014411102', 'https://openalex.org/W1667372604', 'https://openalex.org/W1491659246'], 'abstract_inverted_index': {'For': [0], 'conformal': [1, 14, 47, 60, 66, 69], 'field': [2, 70], 'theories': [3, 71], 'in': [4, 26, 49, 72, 83], 'arbitrary': [5], 'dimensions,': [6], 'we': [7, 39], 'introduce': [8], 'a': [9, 21, 84], 'method': [10, 63], 'to': [11, 17], 'derive': [12], 'the': [13, 18, 35, 57], 'blocks': [15, 48, 67], 'corresponding': [16], 'exchange': [19], 'of': [20, 30, 51], 'traceless': [22], 'symmetric': [23], 'tensor': [24], 'appearing': [25], 'four': [27], 'point': [28], 'functions': [29], 'operators': [31, 54], 'with': [32], 'spin.': [33], 'Using': [34], 'embedding': [36], 'space': [37], 'formalism,': [38], 'show': [40], 'that': [41], 'one': [42], 'can': [43, 80], 'express': [44], 'all': [45, 65], 'such': [46], 'terms': [50], 'simple': [52, 86], 'differential': [53], 'acting': [55], 'on': [56], 'basic': [58], 'scalar': [59], 'blocks.': [61], 'This': [62], 'gives': [64], 'for': [68], 'three': [73], 'dimensions.': [74], 'We': [75], 'demonstrate': [76], 'how': [77], 'this': [78], 'formalism': [79], 'be': [81], 'applied': [82], 'few': [85], 'examples.': [87]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2074509106', 'counts_by_year': [{'year': 2024, 'cited_by_count': 12}, {'year': 2023, 'cited_by_count': 11}, {'year': 2022, 'cited_by_count': 21}, {'year': 2021, 'cited_by_count': 37}, {'year': 2020, 'cited_by_count': 42}, {'year': 2019, 'cited_by_count': 19}, {'year': 2018, 'cited_by_count': 26}, {'year': 2017, 'cited_by_count': 28}, {'year': 2016, 'cited_by_count': 25}, {'year': 2015, 'cited_by_count': 19}, {'year': 2014, 'cited_by_count': 15}, {'year': 2013, 'cited_by_count': 14}, {'year': 2012, 'cited_by_count': 14}], 'updated_date': '2024-12-15T20:09:20.382008', 'created_date': '2016-06-24'}