Membrane paradigm, gravitational Θterm and gauge/gravity duality
Abstract
Following the membrane paradigm, we explore the effect of the gravitational Θterm on the behavior of the stretched horizon of a black hole in (3 + 1)dimensions. We reformulate the membrane paradigm from a quantum pathintegral point of view where we interpret the macroscopic properties of the horizon as effects of integrating out the region inside the horizon. The gravitational Θterm is a total derivative, however, using our framework we show that this term 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. Then we consider a largeN gauge theory in (2 + 1)dimensions which is dual to an asymptotically AdS background in (3 + 1)dimensional spacetime to show that the Θterm induces a nontrivial contact term in the energymomentum tensor of the dual theory. As a consequence, the dual gauge theory in the presence of the Θterm acquires the same third order parity violating transport coefficient.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2016
 DOI:
 10.1007/JHEP04(2016)112
 arXiv:
 arXiv:1512.01238
 Bibcode:
 2016JHEP...04..112F
 Keywords:

 AdSCFT Correspondence;
 Black Holes;
 Classical Theories of Gravity;
 CP violation;
 High Energy Physics  Theory;
 Astrophysics  High Energy Astrophysical Phenomena;
 General Relativity and Quantum Cosmology;
 Quantum Physics
 EPrint:
 28+9 pages