Null surface thermodynamics in topologically massive gravity

Vahid Taghiloo

doi:10.1140/epjc/s10052-023-11309-0

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 182
https://doi.org/10.1140/epjc/s10052-023-11309-0

Regular Article - Theoretical Physics

Null surface thermodynamics in topologically massive gravity

Vahid Taghiloo¹^,2^a

¹ Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45137-66731, Zanjan, Iran
² School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

^a v.taghiloo@iasbs.ac.ir

Received: 24 July 2022
Accepted: 6 February 2023
Published online: 27 February 2023

Abstract

We study three dimensional topologically massive gravity (TMG) in presence of a generic codimension one null boundary. The existence of the boundary is accounted for by enlarging the Hilbert space of the theory by degrees of freedom which only reside at the boundary, the boundary degrees of freedom. The solution phase space of this theory in addition to bulk massive chiral gravitons of the TMG, involves boundary modes which are labeled by surface charges associated with large diffeomorphisms. We show boundary degrees of freedom obey a local thermodynamic description over the solution phase space, null surface thermodynamics, described by a local version of the first law, a local Gibbs–Duhem equation, and local zeroth law. Due to the expansion of the boundary and also the passage of the bulk mode through the boundary, our null surface thermodynamics describes an open boundary system that is generically out of thermal equilibrium.

© The Author(s) 2023

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