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Counterterms, critical gravity, and holography

Sen, Kallol and Sinha, Aninda and Suryanarayana, Nemani V (2012) Counterterms, critical gravity, and holography. In: PHYSICAL REVIEW D, 85 (12).

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Official URL: http://dx.doi.org/10.1103/PhysRevD.85.124017

Abstract

We consider counterterms for odd dimensional holographic conformal field theories (CFTs). These counterterms are derived by demanding cutoff independence of the CFT partition function on S-d and S-1 x Sd-1. The same choice of counterterms leads to a cutoff independent Schwarzschild black hole entropy. When treated as independent actions, these counterterm actions resemble critical theories of gravity, i.e., higher curvature gravity theories where the additional massive spin-2 modes become massless. Equivalently, in the context of AdS/CFT, these are theories where at least one of the central charges associated with the trace anomaly vanishes. Connections between these theories and logarithmic CFTs are discussed. For a specific choice of parameters, the theories arising from counterterms are nondynamical and resemble a Dirac-Born-Infeld generalization of gravity. For even dimensional CFTs, analogous counterterms cancel log-independent cutoff dependence.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to American Physical Society
Keywords: CONFORMAL FIELD-THEORY;MASSIVE GAUGE-THEORIES;ADS/CFT CORRESPONDENCE;RENORMALIZATION;SINGLETONS;THEOREM;TENSOR; SPACE;ADS
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 14 Jul 2012 08:02
Last Modified: 14 Jul 2012 08:02
URI: http://eprints.iisc.ernet.in/id/eprint/44802

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