• DOI:10.1007/JHEP04(2016)112
• Corpus ID: 118498657

Membrane paradigm, gravitational Θ-term and gauge/gravity duality

@article{Fischler2015MembranePG,
  title={Membrane paradigm, gravitational $\Theta$-term and gauge/gravity duality},
  author={Willy Fischler and Sandipan Kundu},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2016},
  pages={1-34}
}

• W. Fischler, S. Kundu
• Published 3 December 2015
• Physics
• Journal of High Energy Physics

A bstractFollowing the membrane paradigm, we explore the effect of the gravitational Θ-term on the behavior of the stretched horizon of a black hole in (3 + 1)-dimensions. We reformulate the membrane paradigm from a quantum path-integral point of view where we interpret the macroscopic properties of the horizon as effects of integrating out the region inside the horizon. The gravitational Θ-term 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 large-N gauge theory in (2 + 1)-dimensions which is dual to an asymptotically AdS background in (3 + 1)-dimensional spacetime to show that the Θ-term induces a non-trivial contact term in the energy-momentum tensor of the dual theory. As a consequence, the dual gauge theory in the presence of the Θ-term acquires the same third order parity violating transport coefficient.