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Holographic Weyl anomaly in string theory
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abstract
We compute the worldsheet sphere partition function of string theory on global AdS$_3$ with pure NS-NS flux. Because of an unfixed M\"obius symmetry on the worldsheet, there is a cancellation of infinities and only a part of the answer is unambiguous. We show that it precisely reproduces the holographic Weyl anomaly and the ambiguous terms correspond to the possible counterterms of the boundary CFT.
Forward citations
Cited by 2 Pith papers
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The On-shell Gravity Action and Linear Dilaton Holography
The Euclidean on-shell action for linear-dilaton three-dimensional string backgrounds yields a spacetime mass whose square-root form matches the TT-deformed CFT energy formula.
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