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Holographic dual of hot Polchinski-Strassler quark-gluon plasma

Holographic dual of hot Polchinski-Strassler quark-gluon plasma
Holographic dual of hot Polchinski-Strassler quark-gluon plasma

We construct the supergravity dual of the hot quark-gluon plasma in the mass-deformed N = 4 Super-Yang-Mills theory (also known as N = 1). The full ten-dimensional type IIB holographic dual is described by 20 functions of two variables, which we determine numerically, and it contains a black hole with S5 horizon topology. As we lower the temperature to around half of the mass of the chiral multiplets, we find evidence for (most likely a first-order) phase transition, which could lead either to one of the Polchinski-Strassler confining, screening, or oblique vacua with polarized branes, or to an intermediate phase corresponding to blackened polarized branes with an S2 ×S3 horizon topology. This phase transition is a feature that could in principle be seen by putting the theory on the lattice, and thus our result for the ratio of the chiral multiplet mass to the phase transition temperature, mc/T = 2.15467491205(6), constitutes the first prediction of string theory and AdS/CFT that could be independently checked via four-dimensional super-QCD lattice computation. We also construct the black-hole solution in certain five-dimensional gauged supergravity truncations and, without directly using uplift/reduction formulae, we find strong evidence that the five- and ten-dimensional solutions are the same. This indicates that five-dimensional gauged supergravity is powerful enough to capture the physics of the high-temperature deconfined phase of the Polchinski-Strassler quark-gluon plasma.

Black Holes in String Theory, Confinement, Gauge-gravity correspondence, Holography and quark-gluon plasmas
1126-6708
1-42
Bena, Iosif
216ba0a8-1a3a-4f4b-b43d-f964e41953d6
Dias, Óscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Hartnett, Gavin S.
09c9c28e-7494-4793-8b1c-237b313c076a
Niehoff, Benjamin E.
bee8d0ff-056a-49b1-8c0c-02544debf0c3
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Bena, Iosif
216ba0a8-1a3a-4f4b-b43d-f964e41953d6
Dias, Óscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Hartnett, Gavin S.
09c9c28e-7494-4793-8b1c-237b313c076a
Niehoff, Benjamin E.
bee8d0ff-056a-49b1-8c0c-02544debf0c3
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274

Bena, Iosif, Dias, Óscar J.C., Hartnett, Gavin S., Niehoff, Benjamin E. and Santos, Jorge E. (2019) Holographic dual of hot Polchinski-Strassler quark-gluon plasma. Journal of High Energy Physics, 2019 (9), 1-42, [33]. (doi:10.1007/JHEP09(2019)033).

Record type: Article

Abstract

We construct the supergravity dual of the hot quark-gluon plasma in the mass-deformed N = 4 Super-Yang-Mills theory (also known as N = 1). The full ten-dimensional type IIB holographic dual is described by 20 functions of two variables, which we determine numerically, and it contains a black hole with S5 horizon topology. As we lower the temperature to around half of the mass of the chiral multiplets, we find evidence for (most likely a first-order) phase transition, which could lead either to one of the Polchinski-Strassler confining, screening, or oblique vacua with polarized branes, or to an intermediate phase corresponding to blackened polarized branes with an S2 ×S3 horizon topology. This phase transition is a feature that could in principle be seen by putting the theory on the lattice, and thus our result for the ratio of the chiral multiplet mass to the phase transition temperature, mc/T = 2.15467491205(6), constitutes the first prediction of string theory and AdS/CFT that could be independently checked via four-dimensional super-QCD lattice computation. We also construct the black-hole solution in certain five-dimensional gauged supergravity truncations and, without directly using uplift/reduction formulae, we find strong evidence that the five- and ten-dimensional solutions are the same. This indicates that five-dimensional gauged supergravity is powerful enough to capture the physics of the high-temperature deconfined phase of the Polchinski-Strassler quark-gluon plasma.

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Bena 2019 Article Holographic Dual Of Hot Polchinski - Version of Record
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More information

Accepted/In Press date: 24 August 2019
e-pub ahead of print date: 5 September 2019
Published date: September 2019
Keywords: Black Holes in String Theory, Confinement, Gauge-gravity correspondence, Holography and quark-gluon plasmas

Identifiers

Local EPrints ID: 434524
URI: http://eprints.soton.ac.uk/id/eprint/434524
ISSN: 1126-6708
PURE UUID: 78b7bb01-f069-4e7a-ad42-1345c3ead4db
ORCID for Óscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 27 Sep 2019 16:30
Last modified: 27 Jan 2020 13:47

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