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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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|
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