Physical Effects of the Gravitational $\Theta$-Parameter

Abstract

We describe the effect of the gravitational $\Theta$-parameter on the behavior of the stretched horizon of a black hole in $(3+1)$-dimensions. The gravitational $\Theta$-term is a total derivative, however, it affects the transport properties of the horizon. In particular, the horizon acquires a third order parity violating, dimensionless transport coefficient which affects the way localized perturbations scramble on the horizon. In the context of the gauge/gravity duality, the $\Theta$-term induces a non-trivial contact term in the energy-momentum tensor of a $(2+1)-$dimensional large-N gauge theory, which admits a dual gravity description. As a consequence, the dual gauge theory in the presence of the $\Theta$-term acquires the same third order parity violating transport coefficient.

4 pages. arXiv admin note: substantial text overlap with arXiv:1512.01238

References in corpus (6)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Viscosity, Black Holes, and Quantum Field Theory
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• The eightfold way to dissipation
• Topological deformation of isolated horizons