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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.