2012/01/31 by Kallol Sen, Aninda Sinha, Nemani V. Suryanarayana · 24 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Gravitation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.85.124017
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(12) (American Physical Society) · 28 pages, v2: references added, v3: minor changes, version to appear in PRD
arxiv created 2012/05/18 · openalex publication_date 2012/06/11 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Sd and S1\ifmmode×\else\texttimes\fiS^d\ensuremath-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.