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).

PDF APS_jou_phy_rev_D_85_12_2012.pdf - Published Version Restricted to Registered users only Download (262kB) | Request a copy

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
Publication:	PHYSICAL REVIEW D
Publisher:	AMER PHYSICAL SOC
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.ac.in/id/eprint/44802

Actions (login required)

View Item