Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2076407737', 'doi': 'https://doi.org/10.1016/j.nuclphysb.2009.06.018', 'title': 'On vertex algebra representations of the Schrödinger–Virasoro Lie algebra', 'display_name': 'On vertex algebra representations of the Schrödinger–Virasoro Lie algebra', 'publication_year': 2009, 'publication_date': '2009-06-28', 'ids': {'openalex': 'https://openalex.org/W2076407737', 'doi': 'https://doi.org/10.1016/j.nuclphysb.2009.06.018', 'mag': '2076407737'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.nuclphysb.2009.06.018', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210194812', 'display_name': 'Nuclear Physics B', 'issn_l': '0550-3213', 'issn': ['0550-3213', '1873-1562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://hal.science/hal-00135660v2/file/article1.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5064220738', 'display_name': 'Jérémie Unterberger', 'orcid': 'https://orcid.org/0000-0001-8393-1158'}, 'institutions': [{'id': 'https://openalex.org/I90183372', 'display_name': 'Université de Lorraine', 'ror': 'https://ror.org/04vfs2w97', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I90183372']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['FR'], 'is_corresponding': True, 'raw_author_name': 'Jérémie Unterberger', 'raw_affiliation_strings': ['Institut Elie Cartan,11Laboratoire associé au CNRS UMR 7502. Université Henri Poincaré Nancy I, B.P. 239, F-54506 Vandœuvre-lès-Nancy Cedex, France'], 'affiliations': [{'raw_affiliation_string': 'Institut Elie Cartan,11Laboratoire associé au CNRS UMR 7502. Université Henri Poincaré Nancy I, B.P. 239, F-54506 Vandœuvre-lès-Nancy Cedex, France', 'institution_ids': ['https://openalex.org/I90183372', 'https://openalex.org/I1294671590']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5064220738'], 'corresponding_institution_ids': ['https://openalex.org/I90183372', 'https://openalex.org/I1294671590'], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 2.89, 'has_fulltext': False, 'cited_by_count': 30, 'citation_normalized_percentile': {'value': 0.966548, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 91, 'max': 92}, 'biblio': {'volume': '823', 'issue': '3', 'first_page': '320', 'last_page': '371'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9968, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/virasoro-algebra', 'display_name': 'Virasoro algebra', 'score': 0.79310083}, {'id': 'https://openalex.org/keywords/vertex-operator-algebra', 'display_name': 'Vertex operator algebra', 'score': 0.64121485}, {'id': 'https://openalex.org/keywords/witt-algebra', 'display_name': 'Witt algebra', 'score': 0.50704575}, {'id': 'https://openalex.org/keywords/graded-lie-algebra', 'display_name': 'Graded Lie algebra', 'score': 0.46467572}, {'id': 'https://openalex.org/keywords/lie-superalgebra', 'display_name': 'Lie superalgebra', 'score': 0.45652193}, {'id': 'https://openalex.org/keywords/super-poincaré-algebra', 'display_name': 'Super-Poincaré algebra', 'score': 0.44201264}], 'concepts': [{'id': 'https://openalex.org/C198252154', 'wikidata': 'https://www.wikidata.org/wiki/Q1366201', 'display_name': 'Virasoro algebra', 'level': 5, 'score': 0.79310083}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.7003071}, {'id': 'https://openalex.org/C73648015', 'wikidata': 'https://www.wikidata.org/wiki/Q6543817', 'display_name': 'Lie conformal algebra', 'level': 3, 'score': 0.67780584}, {'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.64121485}, {'id': 'https://openalex.org/C206743202', 'wikidata': 'https://www.wikidata.org/wiki/Q6956294', 'display_name': 'N = 2 superconformal algebra', 'level': 5, 'score': 0.5259374}, {'id': 'https://openalex.org/C150050237', 'wikidata': 'https://www.wikidata.org/wiki/Q444054', 'display_name': 'Witt algebra', 'level': 5, 'score': 0.50704575}, {'id': 'https://openalex.org/C155058155', 'wikidata': 'https://www.wikidata.org/wiki/Q1673406', 'display_name': 'Universal enveloping algebra', 'level': 3, 'score': 0.47714943}, {'id': 'https://openalex.org/C51568863', 'wikidata': 'https://www.wikidata.org/wiki/Q664495', 'display_name': 'Lie algebra', 'level': 2, 'score': 0.47453964}, {'id': 'https://openalex.org/C144091092', 'wikidata': 'https://www.wikidata.org/wiki/Q3611543', 'display_name': 'Graded Lie algebra', 'level': 3, 'score': 0.46467572}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.45815694}, {'id': 'https://openalex.org/C78804095', 'wikidata': 'https://www.wikidata.org/wiki/Q1133024', 'display_name': 'Lie superalgebra', 'level': 5, 'score': 0.45652193}, {'id': 'https://openalex.org/C203920821', 'wikidata': 'https://www.wikidata.org/wiki/Q3611542', 'display_name': 'Super-Poincaré algebra', 'level': 5, 'score': 0.44201264}, {'id': 'https://openalex.org/C155765329', 'wikidata': 'https://www.wikidata.org/wiki/Q7243128', 'display_name': 'Primary field', 'level': 4, 'score': 0.43004754}, {'id': 'https://openalex.org/C169171071', 'wikidata': 'https://www.wikidata.org/wiki/Q5449241', 'display_name': 'Filtered algebra', 'level': 3, 'score': 0.42235875}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.4213888}, {'id': 'https://openalex.org/C79118098', 'wikidata': 'https://www.wikidata.org/wiki/Q43101', 'display_name': 'Boson', 'level': 2, 'score': 0.41738188}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.40824014}, {'id': 'https://openalex.org/C5475112', 'wikidata': 'https://www.wikidata.org/wiki/Q632521', 'display_name': 'Affine Lie algebra', 'level': 4, 'score': 0.4063263}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.37975568}, {'id': 'https://openalex.org/C54613284', 'wikidata': 'https://www.wikidata.org/wiki/Q1191271', 'display_name': 'Conformal field theory', 'level': 3, 'score': 0.36379987}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.36045057}, {'id': 'https://openalex.org/C100899422', 'wikidata': 'https://www.wikidata.org/wiki/Q5058347', 'display_name': 'Cellular algebra', 'level': 4, 'score': 0.29448718}, {'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.14828286}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.13641602}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.1121957}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.06963399}], 'mesh': [], 'locations_count': 7, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.nuclphysb.2009.06.018', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210194812', 'display_name': 'Nuclear Physics B', 'issn_l': '0550-3213', 'issn': ['0550-3213', '1873-1562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-00135660', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.science/hal-00135660v2/file/article1.pdf', 'pdf_url': 'https://hal.science/hal-00135660v2/file/article1.pdf', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.science/hal-00135660v2/document', 'pdf_url': 'https://hal.science/hal-00135660v2/document', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/cond-mat/0703214', 'pdf_url': 'https://arxiv.org/pdf/cond-mat/0703214', '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': 'http://arxiv.org/abs/cond-mat/0703214', 'pdf_url': 'http://arxiv.org/pdf/cond-mat/0703214', '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': 'http://arxiv.org/pdf/cond-mat/0703214v1.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}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://hal.science/hal-00135660v2/file/article1.pdf', 'pdf_url': 'https://hal.science/hal-00135660v2/file/article1.pdf', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 69, 'referenced_works': ['https://openalex.org/W1489991626', 'https://openalex.org/W1506176481', 'https://openalex.org/W1520510487', 'https://openalex.org/W1585454614', 'https://openalex.org/W1587717319', 'https://openalex.org/W1594578859', 'https://openalex.org/W1628359674', 'https://openalex.org/W1965932458', 'https://openalex.org/W1969397250', 'https://openalex.org/W1972786864', 'https://openalex.org/W1974945857', 'https://openalex.org/W1978116136', 'https://openalex.org/W1982368032', 'https://openalex.org/W1982682732', 'https://openalex.org/W1988677817', 'https://openalex.org/W1989336195', 'https://openalex.org/W1995080667', 'https://openalex.org/W2009520366', 'https://openalex.org/W2014398944', 'https://openalex.org/W2015146689', 'https://openalex.org/W2016125440', 'https://openalex.org/W2016655282', 'https://openalex.org/W2020422608', 'https://openalex.org/W2021786973', 'https://openalex.org/W2035735138', 'https://openalex.org/W2036302210', 'https://openalex.org/W2043710110', 'https://openalex.org/W2048381334', 'https://openalex.org/W2065021943', 'https://openalex.org/W2076135667', 'https://openalex.org/W2077329071', 'https://openalex.org/W2078389753', 'https://openalex.org/W2080490965', 'https://openalex.org/W2085698958', 'https://openalex.org/W2086663363', 'https://openalex.org/W2090145600', 'https://openalex.org/W2094994352', 'https://openalex.org/W2095282857', 'https://openalex.org/W2110117468', 'https://openalex.org/W2116987070', 'https://openalex.org/W2118507940', 'https://openalex.org/W2120062331', 'https://openalex.org/W2120121612', 'https://openalex.org/W2143061491', 'https://openalex.org/W2145030055', 'https://openalex.org/W2157005274', 'https://openalex.org/W2159175508', 'https://openalex.org/W2185372834', 'https://openalex.org/W2526861123', 'https://openalex.org/W2950404009', 'https://openalex.org/W2964255451', 'https://openalex.org/W2986057930', 'https://openalex.org/W3099334295', 'https://openalex.org/W3101043741', 'https://openalex.org/W3101877102', 'https://openalex.org/W3102924288', 'https://openalex.org/W3104790781', 'https://openalex.org/W3105564380', 'https://openalex.org/W3105706256', 'https://openalex.org/W3119264854', 'https://openalex.org/W3121262215', 'https://openalex.org/W3123074631', 'https://openalex.org/W3124392500', 'https://openalex.org/W3124844313', 'https://openalex.org/W3125726039', 'https://openalex.org/W4206688401', 'https://openalex.org/W4211033201', 'https://openalex.org/W4302360021', 'https://openalex.org/W46340355'], 'related_works': ['https://openalex.org/W4309117445', 'https://openalex.org/W4300836233', 'https://openalex.org/W4298736952', 'https://openalex.org/W3098443816', 'https://openalex.org/W2146648600', 'https://openalex.org/W2076407737', 'https://openalex.org/W1995842098', 'https://openalex.org/W1988962015', 'https://openalex.org/W1969184423', 'https://openalex.org/W1667816518'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2076407737', 'counts_by_year': [{'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 2}, {'year': 2014, 'cited_by_count': 4}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 5}], 'updated_date': '2024-12-09T14:55:21.087246', 'created_date': '2016-06-24'}