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Irrelevant Operators and their Holographic Anomalies

MPS-Authors
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Broccoli,  M.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

2111.08286.pdf
(Preprint), 273KB

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Citation

Broccoli, M. (in preparation). Irrelevant Operators and their Holographic Anomalies.


Cite as: http://hdl.handle.net/21.11116/0000-0009-8F8D-8
Abstract
Irrelevant operators in a CFT modify the usual Weyl transformation of the metric. A metric beta-function turns on, which modifies the Weyl anomalies as well. In this paper, we study the relation between bulk diffeomorphisms and Weyl transformation at the boundary when a massive scalar field, which sources irrelevant operators at the boundary, is coupled to the bulk metric. Considering the effect of the backreaction generated by the scalar field, we provide a holographic description of the boundary metric beta-function and anomalies. Our results represent an additional test of the AdS/CFT correspondence.