Baryon Masses and Wilson Loops for Fractional D3-Branes on the Resolved Conifold

TL;DR

This paper investigates the IR dynamics of a supergravity solution with fractional D3-branes on the resolved conifold, focusing on baryon masses, domain wall tension, and Wilson loop behavior in the dual gauge theory.

Contribution

It provides new calculations of baryon masses and domain wall tensions for fractional D3-branes on the resolved conifold, and analyzes the Wilson loop area law in this context.

Findings

Baryon mass and domain wall tension are computed and compared with the deformed conifold case.

Wilson loop exhibits area law behavior due to IR D3-brane charge vanishing locus.

The IR behavior of the general conifold solution is discussed.

Abstract

We study the IR dynamics of the type IIB supergravity solution describing N D3-branes and M fractional D3-branes on the resolved conifold. The baryon mass and the tension of domain wall in the dual gauge theory are evaluated and compared with those for the deformed conifold. The IR behavior of the solution for the general conifold is also discussed. We show that the area law behavior of the Wilson loop is attributed to the existence of the locus in the IR where the D3-brane charge vanishes.