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• W2953606079 abstract "We consider the Liouville theory in fixed Euclidean AdS$_2$ background. Expanded near the minimum of the potential the elementary field has mass squared 2 and (assuming the standard Dirichlet b.c.) corresponds to a dimension 2 operator at the boundary. We provide strong evidence for the conjecture that the boundary correlators of the Liouville field are the same as the correlators of the holomorphic stress tensor (or the Virasoro generator with the same central charge) on a half-plane or a disc restricted to the boundary. This relation was first observed at the leading semiclassical order (tree-level Witten diagrams in AdS$_2$) in arXiv:1902.10536 and here we demonstrate its validity also at the one-loop level. We also discuss arguments that may lead to its general proof." @default.
• W2953606079 created "2019-07-12" @default.
• W2953606079 creator A5036218419 @default.
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• W2953606079 date "2019-07-01" @default.
• W2953606079 modified "2023-10-18" @default.
• W2953606079 title "On boundary correlators in Liouville theory on AdS2" @default.
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• W2953606079 doi "https://doi.org/10.1007/jhep07(2019)008" @default.
• W2953606079 hasPublicationYear "2019" @default.
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