String field representation of the Virasoro algebra

Name: Work Video:
Duration: 3 min 30 s
Description: We construct a representation of the zero central charge Virasoro algebra using string fields in Witten's open bosonic string field theory. This construction is used to explore extensions of the KBc algebra and find novel algebraic solutions of open string field theory.
Nicholas Mertes; Martin Schnabl
{'id': 'https://openalex.org/W3101817369', 'doi': 'https://doi.org/10.1007/jhep12(2016)151', 'title': 'String field representation of the Virasoro algebra', 'display_name': 'String field representation of the Virasoro algebra', 'publication_year': 2016, 'publication_date': '2016-12-01', 'ids': {'openalex': 'https://openalex.org/W3101817369', 'doi': 'https://doi.org/10.1007/jhep12(2016)151', 'mag': '3101817369'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/jhep12(2016)151', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007%2FJHEP12%282016%29151.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', 'license_id': 'https://openalex.org/licenses/cc-by', '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': 'diamond', 'oa_url': 'https://link.springer.com/content/pdf/10.1007%2FJHEP12%282016%29151.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5059188943', 'display_name': 'Nicholas Mertes', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210122644', 'display_name': 'Czech Academy of Sciences, Institute of Physics', 'ror': 'https://ror.org/02yhj4v17', 'country_code': 'CZ', 'type': 'facility', 'lineage': ['https://openalex.org/I202391551', 'https://openalex.org/I4210122644']}], 'countries': ['CZ'], 'is_corresponding': False, 'raw_author_name': 'Nicholas Mertes', 'raw_affiliation_strings': ['Institute of Physics AS CR, Na Slovance 2, Prague 8, Czech Republic'], 'affiliations': [{'raw_affiliation_string': 'Institute of Physics AS CR, Na Slovance 2, Prague 8, Czech Republic', 'institution_ids': ['https://openalex.org/I4210122644']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5082741356', 'display_name': 'Martin Schnabl', 'orcid': 'https://orcid.org/0000-0001-6223-3537'}, 'institutions': [{'id': 'https://openalex.org/I4210122644', 'display_name': 'Czech Academy of Sciences, Institute of Physics', 'ror': 'https://ror.org/02yhj4v17', 'country_code': 'CZ', 'type': 'facility', 'lineage': ['https://openalex.org/I202391551', 'https://openalex.org/I4210122644']}], 'countries': ['CZ'], 'is_corresponding': False, 'raw_author_name': 'Martin Schnabl', 'raw_affiliation_strings': ['Institute of Physics AS CR, Na Slovance 2, Prague 8, Czech Republic'], 'affiliations': [{'raw_affiliation_string': 'Institute of Physics AS CR, Na Slovance 2, Prague 8, Czech Republic', 'institution_ids': ['https://openalex.org/I4210122644']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.361, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 6, 'citation_normalized_percentile': {'value': 0.707714, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 82, 'max': 83}, 'biblio': {'volume': '2016', 'issue': '12', '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': 0.9999, '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': 0.9999, '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9975, '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/T11415', 'display_name': 'Noncommutative and Quantum Gravity Theories', 'score': 0.9899, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear 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/virasoro-algebra', 'display_name': 'Virasoro algebra', 'score': 0.8548452}, {'id': 'https://openalex.org/keywords/central-charge', 'display_name': 'Central charge', 'score': 0.50813127}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.43821084}], 'concepts': [{'id': 'https://openalex.org/C198252154', 'wikidata': 'https://www.wikidata.org/wiki/Q1366201', 'display_name': 'Virasoro algebra', 'level': 5, 'score': 0.8548452}, {'id': 'https://openalex.org/C206743202', 'wikidata': 'https://www.wikidata.org/wiki/Q6956294', 'display_name': 'N = 2 superconformal algebra', 'level': 5, 'score': 0.7828196}, {'id': 'https://openalex.org/C15760308', 'wikidata': 'https://www.wikidata.org/wiki/Q1051921', 'display_name': 'String field theory', 'level': 3, 'score': 0.6594189}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.6078189}, {'id': 'https://openalex.org/C157486923', 'wikidata': 'https://www.wikidata.org/wiki/Q1376436', 'display_name': 'String (physics)', 'level': 2, 'score': 0.55905944}, {'id': 'https://openalex.org/C2777345500', 'wikidata': 'https://www.wikidata.org/wiki/Q3658596', 'display_name': 'Central charge', 'level': 3, 'score': 0.50813127}, {'id': 'https://openalex.org/C9652623', 'wikidata': 'https://www.wikidata.org/wiki/Q190109', 'display_name': 'Field (mathematics)', 'level': 2, 'score': 0.45762265}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.4476126}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.43821084}, {'id': 'https://openalex.org/C156341967', 'wikidata': 'https://www.wikidata.org/wiki/Q7048887', 'display_name': 'Non-critical string theory', 'level': 3, 'score': 0.43770263}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.40177515}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.34884053}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.3338338}, {'id': 'https://openalex.org/C100899422', 'wikidata': 'https://www.wikidata.org/wiki/Q5058347', 'display_name': 'Cellular algebra', 'level': 4, 'score': 0.2360526}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.19491899}, {'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.07888955}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.07721323}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/jhep12(2016)151', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007%2FJHEP12%282016%29151.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', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1610.00968', 'pdf_url': 'https://arxiv.org/pdf/1610.00968', '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.1610.00968', '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/jhep12(2016)151', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007%2FJHEP12%282016%29151.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', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2528901119', 'https://openalex.org/W3101817369'], 'referenced_works_count': 29, 'referenced_works': ['https://openalex.org/W1491966797', 'https://openalex.org/W1606698284', 'https://openalex.org/W1633011910', 'https://openalex.org/W1979908656', 'https://openalex.org/W1987876072', 'https://openalex.org/W1989882355', 'https://openalex.org/W2004265591', 'https://openalex.org/W2007956688', 'https://openalex.org/W2021923857', 'https://openalex.org/W2036251381', 'https://openalex.org/W2048440246', 'https://openalex.org/W2060691398', 'https://openalex.org/W2067077341', 'https://openalex.org/W2068803430', 'https://openalex.org/W2097616202', 'https://openalex.org/W2137899638', 'https://openalex.org/W2143827369', 'https://openalex.org/W2151146646', 'https://openalex.org/W2568086218', 'https://openalex.org/W3093723302', 'https://openalex.org/W3098982980', 'https://openalex.org/W3102864245', 'https://openalex.org/W3103090912', 'https://openalex.org/W3104203111', 'https://openalex.org/W3104472702', 'https://openalex.org/W3105374625', 'https://openalex.org/W4235885532', 'https://openalex.org/W4256025031', 'https://openalex.org/W4299957198'], 'related_works': ['https://openalex.org/W4302062527', 'https://openalex.org/W3102191552', 'https://openalex.org/W3101817369', 'https://openalex.org/W2170160832', 'https://openalex.org/W2087774869', 'https://openalex.org/W2077556300', 'https://openalex.org/W2011241824', 'https://openalex.org/W2010094083', 'https://openalex.org/W2004141798', 'https://openalex.org/W1966638917'], 'abstract_inverted_index': {'We': [0], 'construct': [1], 'a': [2], 'representation': [3], 'of': [4, 28, 37], 'the': [5, 29], 'zero': [6], 'central': [7], 'charge': [8], 'Virasoro': [9], 'algebra': [10, 31], 'using': [11], 'string': [12, 18, 39], 'fields': [13], 'in': [14], "Witten's": [15], 'open': [16, 38], 'bosonic': [17], 'field': [19, 40], 'theory.': [20, 41], 'This': [21], 'construction': [22], 'is': [23], 'used': [24], 'to': [25], 'explore': [26], 'extensions': [27], 'KBc': [30], 'and': [32], 'find': [33], 'novel': [34], 'algebraic': [35], 'solutions': [36]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3101817369', 'counts_by_year': [{'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 2}], 'updated_date': '2024-12-19T13:50:11.510550', 'created_date': '2020-11-23'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
