Holographic Weyl anomaly in string theory

Eberhardt, Lorenz; Pal, Sridip

doi:10.21468/SciPostPhys.16.1.027

SciPost Physics

Holographic Weyl anomaly in string theory

Lorenz Eberhardt, Sridip Pal

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

doi: 10.21468/SciPostPhys.16.1.027
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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 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.1.027
TI  - Holographic Weyl anomaly in string theory
PY  - 2024/01/24
UR  - https://scipost.org/SciPostPhys.16.1.027
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 1
SP  - 027
A1  - Eberhardt, Lorenz
AU  - Pal, Sridip
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.1.027,
	title={{Holographic Weyl anomaly in string theory}},
	author={Lorenz Eberhardt and Sridip Pal},
	journal={SciPost Phys.},
	volume={16},
	pages={027},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.1.027},
	url={https://scipost.org/10.21468/SciPostPhys.16.1.027},
}

Cited by 3

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¹ Lorenz Eberhardt,
¹ ² Sridip Pal

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