Holographic Weyl anomaly in string theory
- Creators
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Eberhardt, Lorenz1
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Pal, Sridip1, 2
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1.
Institute for Advanced Study
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2.
California Institute of Technology
Abstract
We compute the worldsheet sphere partition function of string theory on global AdS_33 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.
Copyright and License
Copyright L. Eberhardt and S. Pal. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
Acknowledgement
We would like to thank Amr Ahmadain, Matt Heydeman, Shota Komatsu, Adam Levine, Raghu Mahajan, Juan Maldacena and Kostas Skenderis for discussions and Andrea Dei for comments on an early draft. We would like to thank one of the referees for pointing out a crucial sign error in the first version.
Funding
LE is supported by the grant DE-SC0009988 from the U.S. Department of Energy. SP acknowledges the support by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.
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Additional details
- United States Department of Energy
- DE-SC0009988
- Office of High Energy Physics
- DE-SC0011632
- Walter Burke Institute for Theoretical Physics
- Accepted
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2024-01-02Accepted
- Available
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2024-01-24Published online
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Publication Status
- Published