# HEP/Astro Seminar -- Monday, 02 April 2001

##
Chiral symmetry breaking and restoration:
A gravitational perspective

## 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.