# 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} }

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…

## 13 Citations

### Physical effects of the gravitational Θ-parameter

- Physics
- 2016

We describe the effect of the gravitational Θ-parameter on the behavior of the stretched horizon of a black hole in (3 + 1)-dimensions. The gravitational Θ-term is a total derivative, however, it…

### Particle-vortex duality and theta terms in AdS/CMT applications

- MathematicsJournal of High Energy Physics
- 2019

In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or…

### Kerr Black Holes within the Membrane Paradigm

- PhysicsLetters in High Energy Physics
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We consider the membrane viewpoint a là Parikh-Wilczek on the Kerr solution for a rotating black hole. Computing the stress-energy tensor of a close-to-the-horizon stretched membrane and comparing it…

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- 2015

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### An alternative path integral for quantum gravity

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- 2016

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### A conformal collider for holographic CFTs

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A bstractWe develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The…

### A conformal collider for holographic CFTs

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- 2018

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### Black hole mass formula in the membrane paradigm

- Physics
- 2018

The membrane paradigm approach adopts a timelike surface, stretched out off the null event horizon, to study several important black hole properties. We use this powerful tool to give a direct…

### Before spacetime: a proposal of a framework for multiverse quantum cosmology based on three cosmological conjectures

- PhysicsClassical and Quantum Gravity
- 2019

The three cosmological conjectures to which our work refers are: the phenomenon called geodesic incompleteness, the physical gravitational -term that would characterize the one-parameter family of…

### Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics

- PhysicsPhysical Review D
- 2018

In order to gain deeper insight into the physics of the novel rotating solution of nonideal transverse magnetohydrodynamics (MHD), presented in one of our recent works, we replace the previously…

## References

SHOWING 1-10 OF 76 REFERENCES

### Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm

- Physics
- 2009

We show that at the level of linear response the low-frequency limit of a strongly coupled field theory at finite temperature is determined by the horizon geometry of its gravity dual, i.e., by the…

### Angular momentum generation from holographic Chern-Simons models

- Physics
- 2013

A bstractWe study parity-violating effects, particularly the generation of angular momentum density and its relation to the parity-odd and dissipationless transport coefficient Hall viscosity, in…

### Mass, angular momentum and thermodynamics in four-dimensional Kerr-AdS black holes

- Physics
- 2005

In this paper, the connection between the Lorentz-covariant counterterms that regularize the four-dimensional AdS gravity action and topological invariants is explored. It is shown that demanding the…

### Membrane viewpoint on black holes: Properties and evolution of the stretched horizon.

- PhysicsPhysical review. D, Particles and fields
- 1986

The membrane formalism rewrites the standard mathematical theory of black holes in a language and notation which (the authors hope) will facilitate research in black-hole astrophysics, and is likely to help astrophysicists understand intuitively and compute quantitatively the behaviors ofblack holes in complex external environments.

### Testing the membrane paradigm with holography

- Physics
- 2015

One version of the membrane paradigm states that, as far as outside observers are concerned, black holes can be replaced by a dissipative membrane with simple physical properties located at the…

### Wilsonian approach to fluid/gravity duality

- Physics
- 2011

The problem of gravitational fluctuations confined inside a finite cutoff at radius r = rc outside the horizon in a general class of black hole geometries is considered. Consistent boundary…

### Integrating out geometry: holographic Wilsonian RG and the membrane paradigm

- Physics
- 2011

We formulate a holographic Wilsonian renormalization group flow for strongly coupled systems with a gravity dual, motivated by the need to extract efficiently low energy behavior of such systems.…

### An action for black hole membranes

- Physics
- 1998

The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as…

### Hall viscosity to entropy ratio in higher derivative theories

- Mathematics
- 2014

A bstractIn this paper based on the basic principles of gauge/gravity duality we compute the hall viscosity to entropy ratio in the presence of various higher derivative corrections to the dual…

### Topological regularization and self-duality in four-dimensional anti-de Sitter gravity

- Physics
- 2009

It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter gravity action in four dimensions recovers the standard regularization given by the holographic…