Study of the AdS$_2$/CFT$_1$ Correspondence with the Contribution from the Weyl Anomaly
| Autor: | Nakayama, Ryuichi, Suzuki, Tomotaka |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Prog Theor Exp Phys (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1093/ptep/ptx118 |
| Popis: | In this paper we will consider the Almheiri-Polchinski model of the AdS$_2$ back reaction coupled with Liouville field, which is necessary for quantum consistency. In this model, the Liouville field is determined classically by a bulk conformal transformation. The boundary time is also reparametrized by this transformation. It is shown that the on-shell action on the boundary for the gravity sector is given by a bulk integral containing the Liouville field. This integral stems from Weyl anomaly and is SL(2,R) invariant. A prescription is given for computing correlation functions of the operators dual to massless scalars. The generating function of the correlation functions of these operators is given by a sum of matter action and the bulk integral containing the Liouville field. The latter integral leads to extra contributions to $n(\geq 6)$ point functions. Comment: 18 pages |
| Databáze: | arXiv |
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