Comments on supergravity dual of pure N=1 Super Yang Mills theory with unbroken chiral symmetry

Abstract

Maldacena and Nunez [hep-th/0008001] identified a gravity solution describing pure N=1 Yang-Mills (YM) in the IR. Their (smooth) supergravity solution exhibits confinement and the U(1)_R chiral symmetry breaking of the dual YM theory, while the singular solution corresponds to the gauge theory phase with unbroken U(1)_R chiral symmetry. In this paper we discuss supersymmetric type IIB compactifications on resolved conifolds with torsion. We rederive singular background of [hep-th/0008001] directly from the supersymmetry conditions. This solution is the relevant starting point to study non-BPS backgrounds dual to the high temperature phase of pure YM. We construct the simplest black hole solution in this background. We argue that it has a regular Schwarzschild horizon and provides a resolution of the IR singularity of the chirally symmetric extremal solution as suggested in [hep-th/0011146].

34 pages, LaTeX, v2: references added, v3: section 2 reduced, minor clarifications, to be published in PRD

References in corpus (3)

• Complex geometry of conifolds and 5-brane wrapped on 2-sphere
• Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold
• Restoration of Chiral Symmetry: A Supergravity Perspective

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