Holographic Two-Point Functions in Conformal Gravity
arXiv:1411.3158 · doi:10.1007/JHEP01(2015)137
Abstract
In this paper we compute the holographic two-point functions of four dimensional conformal gravity. Precisely we calculate the two-point functions for Energy- Momentum (EM) and Partially Massless Response (PMR) operators that have been identified as two response functions for two independent sources in the dual CFT. The correlation function of EM with PMR tensors turns out to be zero which is expected according to the conformal symmetry. The two-point function of EM is that of a transverse and traceless tensor, and the two-point function of PMR which is a traceless operator contains two distinct parts, one for a transverse-traceless tensor operator and another one for a vector field, both of which fulfill criteria of a CFT. We also discuss about the unitarity of the theory.
42 pages. Published version in JHEP
References in corpus (14)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Critical Gravity in Four Dimensions
- A field-theory motivated approach to symbolic computer algebra
- Einstein Gravity from Conformal Gravity
- Precision holography for non-conformal branes
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Impact of a global quadratic potential on galactic rotation curves
- No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
- Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
- Gravitational- and Self- Coupling of Partially Massless Spin 2
- Holographic two-point functions for 4d log-gravity
- Renormalized AdS action and Critical Gravity
- Conformal Gravity Redux: Ghost-turned-Tachyon