Restoration of chiral symmetry: a supergravity perspective | Zendy

Steven S. Gubser | Zendy; Christopher P. Herzog | Zendy; Igor R. Klebanov | Zendy; A.A. Tseytlin | Zendy

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Restoration of chiral symmetry: a supergravity perspective

Author(s) -

Steven S. Gubser,

Christopher P. Herzog,

Igor R. Klebanov,

A.A. Tseytlin

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/05/028

Subject(s) - conifold , supergravity , singularity , physics , ansatz , mathematical physics , naked singularity , symmetry (geometry) , theoretical physics , brane cosmology , gravitational singularity , supersymmetry , quantum mechanics , mathematical analysis , mathematics , geometry

The supergravity dual of $N$ regular and $M$ fractional D3-branes on theconifold has a naked singularity in the infrared. Supersymmetric resolution ofthis singularity requires deforming the conifold: this is the supergravity dualof chiral symmetry breaking. Buchel suggested that at sufficiently hightemperature there is no need to deform the conifold: the singularity may becloaked by a horizon. This would be the supergravity manifestation of chiralsymmetry restoration. In previous work [hep-th/0102105] the ansatz and thesystem of second-order radial differential equations necessary to find such asolution were written down. In this paper we find smooth solutions to thissystem in a perturbation theory that is valid when the Hawking temperature ofthe horizon is very high.Comment: 22 page

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