Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2051306597', 'doi': 'https://doi.org/10.1007/jhep05(2013)166', 'title': 'On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants', 'display_name': 'On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants', 'publication_year': 2013, 'publication_date': '2013-05-01', 'ids': {'openalex': 'https://openalex.org/W2051306597', 'doi': 'https://doi.org/10.1007/jhep05(2013)166', 'mag': '2051306597'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/jhep05(2013)166', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/JHEP05(2013)166.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': 'hybrid', 'oa_url': 'https://link.springer.com/content/pdf/10.1007/JHEP05(2013)166.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5048562081', 'display_name': 'Jan Manschot', 'orcid': 'https://orcid.org/0000-0002-6506-7084'}, 'institutions': [{'id': 'https://openalex.org/I135140700', 'display_name': 'University of Bonn', 'ror': 'https://ror.org/041nas322', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I135140700']}, {'id': 'https://openalex.org/I4210119712', 'display_name': 'Max Planck Institute for Mathematics', 'ror': 'https://ror.org/02dh8ja68', 'country_code': 'DE', 'type': 'facility', 'lineage': ['https://openalex.org/I149899117', 'https://openalex.org/I4210119712']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Jan Manschot', 'raw_affiliation_strings': ['Max Planck Institute for Mathematics', 'Universität Bonn'], 'affiliations': [{'raw_affiliation_string': 'Universität Bonn', 'institution_ids': ['https://openalex.org/I135140700']}, {'raw_affiliation_string': 'Max Planck Institute for Mathematics', 'institution_ids': ['https://openalex.org/I4210119712']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5016715903', 'display_name': 'Boris Pioline', 'orcid': 'https://orcid.org/0000-0002-3168-288X'}, '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']}, {'id': 'https://openalex.org/I67311998', 'display_name': 'European Organization for Nuclear Research', 'ror': 'https://ror.org/01ggx4157', 'country_code': 'CH', 'type': 'facility', 'lineage': ['https://openalex.org/I67311998']}], 'countries': ['CH', 'FR'], 'is_corresponding': False, 'raw_author_name': 'Boris Pioline', 'raw_affiliation_strings': ['CERN PH-TH, CERN', 'Université Pierre et Marie Curie'], 'affiliations': [{'raw_affiliation_string': 'Université Pierre et Marie Curie', 'institution_ids': ['https://openalex.org/I39804081']}, {'raw_affiliation_string': 'CERN PH-TH, CERN', 'institution_ids': ['https://openalex.org/I67311998']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5006432646', 'display_name': 'Ashoke Sen', 'orcid': 'https://orcid.org/0000-0003-0449-8312'}, 'institutions': [{'id': 'https://openalex.org/I35409948', 'display_name': 'Harish-Chandra Research Institute', 'ror': 'https://ror.org/0165d9303', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I35409948']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Ashoke Sen', 'raw_affiliation_strings': ['Harish-Chandra Research Institute'], 'affiliations': [{'raw_affiliation_string': 'Harish-Chandra Research Institute', 'institution_ids': ['https://openalex.org/I35409948']}]}], 'institution_assertions': [], 'countries_distinct_count': 4, 'institutions_distinct_count': 5, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'fwci': 2.437, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 49, 'citation_normalized_percentile': {'value': 0.878625, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': '2013', 'issue': '5', '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9994, '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/T10248', 'display_name': 'Nonlinear Waves and Solitons', 'score': 0.9993, '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/quiver', 'display_name': 'Quiver', 'score': 0.9768673}], 'concepts': [{'id': 'https://openalex.org/C168310172', 'wikidata': 'https://www.wikidata.org/wiki/Q493980', 'display_name': 'Quiver', 'level': 2, 'score': 0.9768673}, {'id': 'https://openalex.org/C73373263', 'wikidata': 'https://www.wikidata.org/wiki/Q845677', 'display_name': 'Moduli space', 'level': 2, 'score': 0.8447794}, {'id': 'https://openalex.org/C158129726', 'wikidata': 'https://www.wikidata.org/wiki/Q402', 'display_name': 'Higgs boson', 'level': 2, 'score': 0.74991727}, {'id': 'https://openalex.org/C9342510', 'wikidata': 'https://www.wikidata.org/wiki/Q25406', 'display_name': 'Coulomb', 'level': 3, 'score': 0.6812184}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.5123364}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4392087}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.39381295}, {'id': 'https://openalex.org/C109214941', 'wikidata': 'https://www.wikidata.org/wiki/Q18334', 'display_name': 'Particle physics', 'level': 1, 'score': 0.3449331}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.2020776}, {'id': 'https://openalex.org/C147120987', 'wikidata': 'https://www.wikidata.org/wiki/Q2225', 'display_name': 'Electron', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/jhep05(2013)166', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/JHEP05(2013)166.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': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00794451', '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/1302.5498', 'pdf_url': 'http://arxiv.org/pdf/1302.5498', '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://hal.science/hal-00794451', '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://api.datacite.org/dois/10.48550/arxiv.1302.5498', '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/jhep05(2013)166', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/JHEP05(2013)166.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/W2051306597', 'https://openalex.org/W3104409257'], 'referenced_works_count': 52, 'referenced_works': ['https://openalex.org/W1964695051', 'https://openalex.org/W1970389930', 'https://openalex.org/W1984187422', 'https://openalex.org/W1985482377', 'https://openalex.org/W1992111856', 'https://openalex.org/W2000653928', 'https://openalex.org/W2006700222', 'https://openalex.org/W2031241956', 'https://openalex.org/W2038737111', 'https://openalex.org/W2039272365', 'https://openalex.org/W2047675789', 'https://openalex.org/W2064897615', 'https://openalex.org/W2064913035', 'https://openalex.org/W2069985190', 'https://openalex.org/W2084157173', 'https://openalex.org/W2091491425', 'https://openalex.org/W2094799811', 'https://openalex.org/W2116638557', 'https://openalex.org/W2117528813', 'https://openalex.org/W2130491267', 'https://openalex.org/W2132304314', 'https://openalex.org/W2145426430', 'https://openalex.org/W2152395291', 'https://openalex.org/W2154483904', 'https://openalex.org/W2159777477', 'https://openalex.org/W2161761074', 'https://openalex.org/W2164163607', 'https://openalex.org/W2949121147', 'https://openalex.org/W2949702146', 'https://openalex.org/W2949850200', 'https://openalex.org/W2963064514', 'https://openalex.org/W2963670181', 'https://openalex.org/W3098277470', 'https://openalex.org/W3098286076', 'https://openalex.org/W3099177821', 'https://openalex.org/W3099197636', 'https://openalex.org/W3100310955', 'https://openalex.org/W3101555374', 'https://openalex.org/W3101763306', 'https://openalex.org/W3102141529', 'https://openalex.org/W3102858311', 'https://openalex.org/W3103311487', 'https://openalex.org/W3104510345', 'https://openalex.org/W3104751141', 'https://openalex.org/W3105005566', 'https://openalex.org/W3105430974', 'https://openalex.org/W3106422147', 'https://openalex.org/W3121185891', 'https://openalex.org/W3123024246', 'https://openalex.org/W3123379845', 'https://openalex.org/W3123651659', 'https://openalex.org/W4298041546'], 'related_works': ['https://openalex.org/W4298837548', 'https://openalex.org/W4296975572', 'https://openalex.org/W2963718219', 'https://openalex.org/W2953186891', 'https://openalex.org/W2885055146', 'https://openalex.org/W2760946812', 'https://openalex.org/W2610740293', 'https://openalex.org/W2162778055', 'https://openalex.org/W2134158581', 'https://openalex.org/W2086905263'], 'abstract_inverted_index': {'In': [0], 'previous': [1], 'work': [2], 'we': [3, 24, 158], 'have': [4], 'shown': [5, 88], 'that': [6], 'the': [7, 39, 46, 62, 69, 72, 83, 92, 105, 116, 121, 125, 142, 146, 165], 'equivariant': [8], 'index': [9], 'of': [10, 48, 71, 75, 124, 131, 141, 148], 'multi-centered': [11], 'N=2': [12], 'black': [13, 49], 'holes': [14, 50], 'localizes': [15], 'on': [16, 97], 'collinear': [17, 32], 'configurations': [18, 33], 'along': [19], 'a': [20, 26, 58, 160], 'fixed': [21], 'axis.': [22], 'Here': [23], 'provide': [25, 159], 'general': [27], 'algorithm': [28], 'for': [29, 67, 100], 'enumerating': [30], 'such': [31], 'and': [34, 56, 151, 167], 'computing': [35, 68], 'their': [36], 'contribution': [37], 'to': [38, 45, 89], 'index.': [40], 'We': [41], 'apply': [42], 'this': [43], 'machinery': [44], 'case': [47], 'described': [51], 'by': [52], 'quiver': [53, 76, 126], 'quantum': [54], 'mechanics,': [55], 'give': [57], 'systematic': [59], 'prescription': [60], '--': [61, 66], 'Coulomb': [63, 84, 117, 166], 'branch': [64, 85, 94, 118, 169], 'formula': [65, 86, 95, 119], 'cohomology': [70], 'moduli': [73, 127], 'space': [74, 128], 'representations.': [77], 'For': [78, 111], 'quivers': [79, 112], 'without': [80], 'oriented': [81, 114], 'loops,': [82, 115], 'is': [87, 108], 'agree': [90], 'with': [91, 113], 'Higgs': [93, 168], 'based': [96], "Reineke's": [98], 'result': [99], 'stack': [101], 'invariants,': [102, 136], 'even': [103], 'when': [104], 'dimension': [106], 'vector': [107], 'not': [109], 'primitive.': [110], 'parametrizes': [120], "Poincar\\'e": [122], 'polynomial': [123], 'in': [129], 'terms': [130], 'single-centered': [132], '(or': [133], 'pure-Higgs)': [134], 'BPS': [135], 'which': [137], 'are': [138], 'conjecturally': [139], 'independent': [140], 'stability': [143], 'condition': [144], '(i.e.': [145], 'choice': [147], 'Fayet-Iliopoulos': [149], 'parameters)': [150], 'angular-momentum': [152], 'free.': [153], 'To': [154], 'facilitate': [155], 'further': [156], 'investigation': [157], 'Mathematica': [161], 'package': [162], '"CoulombHiggs.m"': [163], 'implementing': [164], 'formulae.': [170]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2051306597', 'counts_by_year': [{'year': 2022, 'cited_by_count': 5}, {'year': 2021, 'cited_by_count': 3}, {'year': 2020, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 7}, {'year': 2018, 'cited_by_count': 3}, {'year': 2017, 'cited_by_count': 3}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 6}, {'year': 2014, 'cited_by_count': 3}, {'year': 2013, 'cited_by_count': 4}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-17T10:25:48.995817', 'created_date': '2016-06-24'}