Bound on the speed of sound from holography

Aleksey Cherman, Thomas D. Cohen, Abhinav Nellore

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

We show that the squared speed of sound vs2 is bounded from above at high temperatures by the conformal value of 1/3 in a class of strongly coupled four-dimensional field theories, given some mild technical assumptions. This class consists of field theories that have gravity duals sourced by a single-scalar field. There are no known examples to date of field theories with gravity duals for which vs2 exceeds 1/3 in energetically favored configurations. We conjecture that vs2=1/3 represents an upper bound for a broad class of four-dimensional theories.

Original languageEnglish (US)
Article number066003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number6
DOIs
StatePublished - Sep 3 2009
Externally publishedYes

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holography
acoustics
gravitation
scalars
configurations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Bound on the speed of sound from holography. / Cherman, Aleksey; Cohen, Thomas D.; Nellore, Abhinav.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 80, No. 6, 066003, 03.09.2009.

Research output: Contribution to journalArticle

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