Double Quiver Gauge Theory and BPS/CFT Correspondence
We provide a formalism using the -Cartan matrix to compute the instanton partition function of quiver gauge theory on various manifolds. Applying this formalism to eight-dimensional setups, we introduce the notion of double quiver gauge theory characterized by a pair of quivers. We also explore the...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211904 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Double Quiver Gauge Theory and BPS/CFT Correspondence. Taro Kimura. SIGMA 19 (2023), 039, 32 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725257659416576 |
|---|---|
| author | Kimura, Taro |
| author_facet | Kimura, Taro |
| citation_txt | Double Quiver Gauge Theory and BPS/CFT Correspondence. Taro Kimura. SIGMA 19 (2023), 039, 32 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We provide a formalism using the -Cartan matrix to compute the instanton partition function of quiver gauge theory on various manifolds. Applying this formalism to eight-dimensional setups, we introduce the notion of double quiver gauge theory characterized by a pair of quivers. We also explore the BPS/CFT correspondence in eight dimensions based on the -Cartan matrix formalism.
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| first_indexed | 2026-03-21T08:03:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211904 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T08:03:01Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kimura, Taro 2026-01-16T10:54:30Z 2023 Double Quiver Gauge Theory and BPS/CFT Correspondence. Taro Kimura. SIGMA 19 (2023), 039, 32 pages 1815-0659 2020 Mathematics Subject Classification: 81T30; 16G20; 14D21; 14J35 arXiv:2212.03870 https://nasplib.isofts.kiev.ua/handle/123456789/211904 https://doi.org/10.3842/SIGMA.2023.039 We provide a formalism using the -Cartan matrix to compute the instanton partition function of quiver gauge theory on various manifolds. Applying this formalism to eight-dimensional setups, we introduce the notion of double quiver gauge theory characterized by a pair of quivers. We also explore the BPS/CFT correspondence in eight dimensions based on the -Cartan matrix formalism. I would like to thank Go Noshita and Vasily Pestun for useful discussions. This work was in part supported by the “Investissements d’Avenir” program, Project ISITE-BFC (No. ANR-15-IDEX0003), EIPHI Graduate School (No. ANR-17-EURE-0002), and the Bourgogne-Franche-Comté region. A part of the results in this paper has been presented at Representation theory, gauge theory and integrable systems, February 2018, and The 1st SUIAS workshop in HEP: Supersymmetry and Gravitation, August 2022. I would like to thank the organizers for the invitation and hospitality. In addition, I am also grateful to the anonymous referees for constructive comments on the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Double Quiver Gauge Theory and BPS/CFT Correspondence Article published earlier |
| spellingShingle | Double Quiver Gauge Theory and BPS/CFT Correspondence Kimura, Taro |
| title | Double Quiver Gauge Theory and BPS/CFT Correspondence |
| title_full | Double Quiver Gauge Theory and BPS/CFT Correspondence |
| title_fullStr | Double Quiver Gauge Theory and BPS/CFT Correspondence |
| title_full_unstemmed | Double Quiver Gauge Theory and BPS/CFT Correspondence |
| title_short | Double Quiver Gauge Theory and BPS/CFT Correspondence |
| title_sort | double quiver gauge theory and bps/cft correspondence |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211904 |
| work_keys_str_mv | AT kimurataro doublequivergaugetheoryandbpscftcorrespondence |