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Holographic Weyl anomaly in string theory

Lorenz Eberhardt, Sridip Pal

SciPost Phys. 16, 027 (2024) · published 24 January 2024


We compute the worldsheet sphere partition function of string theory on global AdS$_3$ with pure NS-NS flux. Because of an unfixed Möbius 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.

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