A Central Charge for sub-AdS Holography
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916677845778432 |
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| author | Ghosh, Abir Krishnan, Chethan Mahalingam, Adinath |
| author_facet | Ghosh, Abir Krishnan, Chethan Mahalingam, Adinath |
| contents | We synthesize and sharpen various observations about sub-AdS holography in the literature to associate a central charge to sub-AdS scales of AdS x $X$ geometries. A key ingredient in our proposal is the idea that the AdS length is the length of the long string in a stack of $N$ $backreacted$ D-branes. This allows us to make statements about sub-AdS scales by considering long strings in sub-stacks of $M < N$ branes. Our proposal applies in general dimensions, connects with and refines previous ideas about sub-matrix deconfinement & long strings, makes crucial use of the compact space, and is consistent with the expected thermodynamics of small black holes localized on $X$. Some of our arguments draw intuition from separating branes, and have natural connections to (heating up) the Coulomb branch of the gauge theory. We apply related ideas to non-conformal D-branes at zero and finite temperature, discuss the holographic bound and IR/UV duality in theories with 16 supercharges, and find broad consistency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15201 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Central Charge for sub-AdS Holography Ghosh, Abir Krishnan, Chethan Mahalingam, Adinath High Energy Physics - Theory We synthesize and sharpen various observations about sub-AdS holography in the literature to associate a central charge to sub-AdS scales of AdS x $X$ geometries. A key ingredient in our proposal is the idea that the AdS length is the length of the long string in a stack of $N$ $backreacted$ D-branes. This allows us to make statements about sub-AdS scales by considering long strings in sub-stacks of $M < N$ branes. Our proposal applies in general dimensions, connects with and refines previous ideas about sub-matrix deconfinement & long strings, makes crucial use of the compact space, and is consistent with the expected thermodynamics of small black holes localized on $X$. Some of our arguments draw intuition from separating branes, and have natural connections to (heating up) the Coulomb branch of the gauge theory. We apply related ideas to non-conformal D-branes at zero and finite temperature, discuss the holographic bound and IR/UV duality in theories with 16 supercharges, and find broad consistency. |
| title | A Central Charge for sub-AdS Holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.15201 |