A generalized Kac-Moody algebra of rank 14

Name: Work Video:
Duration: 3 min 30 s
Description: We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new generalized Kac-Moody algebra of rank 14. We determine its root space multiplicities and a set of simple roots.
Gerald Hoehn; Nils R. Scheithauer
{'id': 'https://openalex.org/W4300832331', 'doi': 'https://doi.org/10.48550/arxiv.1009.5153', 'title': 'A generalized Kac-Moody algebra of rank 14', 'display_name': 'A generalized Kac-Moody algebra of rank 14', 'publication_year': 2010, 'publication_date': '2010-01-01', 'ids': {'openalex': 'https://openalex.org/W4300832331', 'doi': 'https://doi.org/10.48550/arxiv.1009.5153'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1009.5153', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1009.5153', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5008596491', 'display_name': 'Gerald Hoehn', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Hoehn, Gerald', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5025078822', 'display_name': 'Nils R. Scheithauer', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Scheithauer, Nils R.', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 64}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 1.0, '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': 1.0, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9987, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9984, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/vertex-operator-algebra', 'display_name': 'Vertex operator algebra', 'score': 0.78443795}, {'id': 'https://openalex.org/keywords/central-charge', 'display_name': 'Central charge', 'score': 0.535692}, {'id': 'https://openalex.org/keywords/brst-quantization', 'display_name': 'BRST quantization', 'score': 0.53160334}, {'id': 'https://openalex.org/keywords/orbifold', 'display_name': 'Orbifold', 'score': 0.5166381}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.43684563}, {'id': 'https://openalex.org/keywords/rank', 'display_name': 'Rank (graph theory)', 'score': 0.43062943}], 'concepts': [{'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.78443795}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.68225396}, {'id': 'https://openalex.org/C100899422', 'wikidata': 'https://www.wikidata.org/wiki/Q5058347', 'display_name': 'Cellular algebra', 'level': 4, 'score': 0.63957405}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.5692501}, {'id': 'https://openalex.org/C2777345500', 'wikidata': 'https://www.wikidata.org/wiki/Q3658596', 'display_name': 'Central charge', 'level': 3, 'score': 0.535692}, {'id': 'https://openalex.org/C39366733', 'wikidata': 'https://www.wikidata.org/wiki/Q2752849', 'display_name': 'BRST quantization', 'level': 3, 'score': 0.53160334}, {'id': 'https://openalex.org/C143782950', 'wikidata': 'https://www.wikidata.org/wiki/Q40460', 'display_name': 'Orbifold', 'level': 2, 'score': 0.5166381}, {'id': 'https://openalex.org/C169171071', 'wikidata': 'https://www.wikidata.org/wiki/Q5449241', 'display_name': 'Filtered algebra', 'level': 3, 'score': 0.5140925}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5008502}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.4868638}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.46215063}, {'id': 'https://openalex.org/C73648015', 'wikidata': 'https://www.wikidata.org/wiki/Q6543817', 'display_name': 'Lie conformal algebra', 'level': 3, 'score': 0.45381257}, {'id': 'https://openalex.org/C80899671', 'wikidata': 'https://www.wikidata.org/wiki/Q1304193', 'display_name': 'Vertex (graph theory)', 'level': 3, 'score': 0.44251275}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.44197452}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.43684563}, {'id': 'https://openalex.org/C164226766', 'wikidata': 'https://www.wikidata.org/wiki/Q7293202', 'display_name': 'Rank (graph theory)', 'level': 2, 'score': 0.43062943}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.33387512}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.2086905}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.10427511}, {'id': 'https://openalex.org/C181830111', 'wikidata': 'https://www.wikidata.org/wiki/Q214850', 'display_name': 'Gauge theory', 'level': 2, 'score': 0.09705269}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.07379514}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1009.5153', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1009.5153', 'pdf_url': 'http://arxiv.org/pdf/1009.5153', '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.1009.5153', '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/1009.5153', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': None, 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4293385895', 'https://openalex.org/W3119527426', 'https://openalex.org/W2991580061', 'https://openalex.org/W2895849820', 'https://openalex.org/W2590847575', 'https://openalex.org/W2504420124', 'https://openalex.org/W2352282176', 'https://openalex.org/W1993632277', 'https://openalex.org/W1816196575', 'https://openalex.org/W1526471914'], 'abstract_inverted_index': {'We': [0, 36], 'construct': [1], 'a': [2, 10, 28, 43], 'vertex': [3, 13, 25], 'algebra': [4, 15, 26, 32], 'of': [5, 16, 23, 33, 45], 'central': [6, 17], 'charge': [7, 18], '26': [8], 'from': [9], 'lattice': [11], 'orbifold': [12], 'operator': [14], '12.': [19], 'The': [20], 'BRST-cohomology': [21], 'group': [22], 'this': [24], 'is': [27], 'new': [29], 'generalized': [30], 'Kac-Moody': [31], 'rank': [34], '14.': [35], 'determine': [37], 'its': [38], 'root': [39], 'space': [40], 'multiplicities': [41], 'and': [42], 'set': [44], 'simple': [46], 'roots.': [47]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4300832331', 'counts_by_year': [], 'updated_date': '2024-12-17T09:00:27.817825', 'created_date': '2022-10-04'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
