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2015

Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality

Fischler, Willy, Kundu, Sandipan

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Following the membrane paradigm, we explore the effect of the gravitational $\Theta$-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 $\Theta$-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.

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