Categorical 't Hooft expansion and chiral algebras
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916959421988864 |
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| author | Gaiotto, Davide López-Raven, Adrián Silverans, Hanne Zeng, Keyou |
| author_facet | Gaiotto, Davide López-Raven, Adrián Silverans, Hanne Zeng, Keyou |
| contents | Twisted holography captures protected aspects of well-known holographic dualities. We show how the holographic dual B-model background can be systematically derived from the 't Hooft expansion of the chiral algebras associated to four-dimensional ${\cal N}=2$ superconformal quiver gauge theories. A crucial tool is the match of planar BRST anomalies in the field theory and on the worldsheet, especially in the presence of probe D-branes. Our construction is very general and can be applied to chiral algebras which do not have a four-dimensional origin. The resulting holographic dual backgrounds are typically non-geometric and appear to be novel. We expect our strategy to have a wide range of applications to other examples of twisted holography and, potentially, weak coupling holography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00760 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Categorical 't Hooft expansion and chiral algebras Gaiotto, Davide López-Raven, Adrián Silverans, Hanne Zeng, Keyou High Energy Physics - Theory Mathematical Physics Quantum Algebra Twisted holography captures protected aspects of well-known holographic dualities. We show how the holographic dual B-model background can be systematically derived from the 't Hooft expansion of the chiral algebras associated to four-dimensional ${\cal N}=2$ superconformal quiver gauge theories. A crucial tool is the match of planar BRST anomalies in the field theory and on the worldsheet, especially in the presence of probe D-branes. Our construction is very general and can be applied to chiral algebras which do not have a four-dimensional origin. The resulting holographic dual backgrounds are typically non-geometric and appear to be novel. We expect our strategy to have a wide range of applications to other examples of twisted holography and, potentially, weak coupling holography. |
| title | Categorical 't Hooft expansion and chiral algebras |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2411.00760 |