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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2410.18729 |
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| _version_ | 1866908613069504512 |
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| author | Tian, Jia Lai, Tengzhou Omidi, Farzad |
| author_facet | Tian, Jia Lai, Tengzhou Omidi, Farzad |
| contents | In this work, we study and generalize the spacetime banana proposal for computing correlation functions of huge operators in the context of the AdS$_3$/CFT$_2$ correspondence. First, we introduce time-like and space-like EOW branes into the proposal and demonstrate that: 1) a holographic dual of the one-point function in a BCFT can be obtained and its modified on-shell action reproduces the expected BCFT result; and 2) the GHY term on the stretched horizon can be replaced by the action of an EOW brane which wraps the horizon. Next, we discuss the two (one)-point function of huge spinning operators described by a rotating black hole in the bulk. We show that simply adding a GHY term on the stretched horizon is insufficient to reproduce the CFT results; instead, the appropriate modified action should be the micro-canonical action. Finally, we revisit the existing approaches for computing correlation functions using the gravity on-shell action of conical geometry or Ba$\tilde{\text{n}}$ados geometries. Surprisingly, we find that the on-shells actions of the Ba$\tilde{\text{n}}$ados geometries or the gravity solutions in the FG gauge yield unexpected incorrect results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18729 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spacetime Bananas with EOW Branes and Spins Tian, Jia Lai, Tengzhou Omidi, Farzad High Energy Physics - Theory In this work, we study and generalize the spacetime banana proposal for computing correlation functions of huge operators in the context of the AdS$_3$/CFT$_2$ correspondence. First, we introduce time-like and space-like EOW branes into the proposal and demonstrate that: 1) a holographic dual of the one-point function in a BCFT can be obtained and its modified on-shell action reproduces the expected BCFT result; and 2) the GHY term on the stretched horizon can be replaced by the action of an EOW brane which wraps the horizon. Next, we discuss the two (one)-point function of huge spinning operators described by a rotating black hole in the bulk. We show that simply adding a GHY term on the stretched horizon is insufficient to reproduce the CFT results; instead, the appropriate modified action should be the micro-canonical action. Finally, we revisit the existing approaches for computing correlation functions using the gravity on-shell action of conical geometry or Ba$\tilde{\text{n}}$ados geometries. Surprisingly, we find that the on-shells actions of the Ba$\tilde{\text{n}}$ados geometries or the gravity solutions in the FG gauge yield unexpected incorrect results. |
| title | Spacetime Bananas with EOW Branes and Spins |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.18729 |