Thermodynamics of inhomogeneously mass-deformed ABJM model and pressure anisotropy

Seungjoon Hyun, Byoungjoon Ahn, Kyung Kiu Kim, O. Kab Kwon, Sang A. Park

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Abstract

In this paper we study the thermodynamics of black branes with a modulated complex scalar in the context of bulk and boundary theories. The modulation induces inhomogeneity to the dual field theory, anisotropic pressure, and brane charge to the bulk geometry. The first law of thermodynamics and the Smarr relation are obtained using the off-shell ADT and the reduced action formalisms. We discuss the prescription for the mass of black branes, which relies on relevant and marginal deformations in the dual field theory. One of the cases is the gravity dual to a ABJM model with a sinusoidal mass function depending on a spatial coordinate. This is the first study of the deformed ABJM model at finite temperature including bulk thermodynamics.

Original languageEnglish
Article number62
JournalJournal of High Energy Physics
Volume2020
Issue number2
DOIs
Publication statusPublished - 2020 Feb 1

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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