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Holographic Weyl anomaly in string theory
by Lorenz Eberhardt, Sridip Pal
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Lorenz Eberhardt · Sridip Pal |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2307.03000v2 (pdf) |
| Date accepted: | 2024-01-02 |
| Date submitted: | 2023-12-24 08:44 |
| Submitted by: | Pal, Sridip |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
We would like to thank both referees for their careful reading of the manuscript and particularly referees 2 and 3 for their comments. We have made relevant changes to the manuscript and hereby we are resubmitting the manuscript.
Best,
Lorenz and Sridip
List of changes
- Fixed sign in front of linear dilaton term
- Removed appearances of $\beta$ and $\bar{\beta}$, since they are only a distraction and were partly responsible for the confusion involving $\mu$ and $\mu^{-1}$.
- Redefined $\mu \to \mu^{-1}$
- Added the second referee to the acknowledgments
- Included ways to derive the Jacobian of the path integral measure
- Included a reference to KPZ
Published as SciPost Phys. 16, 027 (2024)