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Holographic Weyl anomaly in string theory

High Energy Physics - Theory 2024-01-24 v2

Abstract

We compute the worldsheet sphere partition function of string theory on global AdS3_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.

Keywords

Cite

@article{arxiv.2307.03000,
  title  = {Holographic Weyl anomaly in string theory},
  author = {Lorenz Eberhardt and Sridip Pal},
  journal= {arXiv preprint arXiv:2307.03000},
  year   = {2024}
}

Comments

9 pages + appendix; v2: fixed minor errors

R2 v1 2026-06-28T11:23:40.487Z