Remarks on the Warped Deformed Conifold

TL;DR

This paper analyzes the supergravity solution of the warped deformed conifold, comparing its coupling flow with field theory, expressing the 3-form field strength in an SO(4) invariant form, and discussing chiral symmetry breaking and wrapped branes.

Contribution

It provides a detailed comparison of supergravity and field theory coupling flows, and presents a manifestly SO(4) invariant form of the 3-form field strength in the warped deformed conifold solution.

Findings

Exact agreement between supergravity and field theory coupling flows.

Explicit SO(4) invariant (2,1) form of the 3-form field strength.

Insights into chiral symmetry breaking and wrapped branes.

Abstract

We assemble a few remarks on the supergravity solution of hep-th/0007191, whose UV asymptotic form was previously found in hep-th/0002159. First, by normalizing the R-R fluxes, we compare the logarithmic flow of couplings in supergravity with that in field theory, and find exact agreement. We also write the 3-form field strength $G_3 = F_3 - \tau H_3$ present in the solution in a manifestly SO(4) invariant (2,1) form. In addition, we discuss various issues related to the chiral symmetry breaking and wrapped branes.