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HEP/Astro Seminar -- Monday, 02 April 2001

Chiral symmetry breaking and restoration: A gravitational perspective

Igor R. Klebanov (Princeton)

Abstract

The gauge theory/gravity correspondence may be motivated by comparing gauge theories on stacks of D-branes with corresponding supergravity backgrounds. N D3-branes and M wrapped D5-branes placed on a certain conical geometry (the conifold) are described at low energies by an N=1 supersymmetric SU(N)×SU(N+M) gauge theory. The corresponding supergravity solution has a naked singularity in the infrared. Supersymmetric resolution of this singularity requires deforming the conifold: this is the supergravity dual of chiral symmetry breaking in the gauge theory. We show that at sufficiently high temperature there is no need to deform the conifold: the singularity may be cloaked by a horizon. This is the supergravity manifestation of chiral symmetry restoration. We find smooth solutions describing the chiral symmetry restored phase in a perturbation theory that is valid when the Hawking temperature of the horizon is very high.

15:30, Smith Lab 4079


George T. Fleming ( gfleming@mps.ohio-state.edu ), last updated 22 March 2001.

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