Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities

TL;DR

This paper explores the duality between a supergravity solution and a confining gauge theory, demonstrating how chiral symmetry breaking and confinement resolve singularities through a warped deformed conifold geometry.

Contribution

It constructs a non-singular supergravity background dual to a confining  gauge theory with chiral symmetry breaking, extending the duality cascade concept to resolve naked singularities.

Findings

The gauge theory undergoes Seiberg dualities with N decreasing by M each step.

Chiral symmetry breaking deforms the conifold, removing the singularity.

The resulting geometry models confinement and chiral symmetry breaking in the IR.

Abstract

We revisit the singular IIB supergravity solution describing M fractional 3-branes on the conifold [hep-th/0002159]. Its 5-form flux decreases, which we explain by showing that the relevant \NN=1 SUSY SU(N+M)xSU(N) gauge theory undergoes repeated Seiberg-duality transformations in which N -> N-M. Far in the IR the gauge theory confines; its chiral symmetry breaking removes the singularity of hep-th/0002159 by deforming the conifold. We propose a non-singular pure-supergravity background dual to the field theory on all scales, with small curvature everywhere if the `t Hooft coupling g_s M is large. In the UV it approaches that of hep-th/0002159, incorporating the logarithmic flow of couplings. In the IR the deformation of the conifold gives a geometrical realization of chiral symmetry breaking and confinement. We suggest that pure \NN=1 Yang-Mills may be dual to strings propagating at small g_s M on a warped deformed conifold. We note also that the standard model itself may lie at the base of a duality cascade.