Glueball Masses for the Deformed Conifold Theory

TL;DR

The paper computes the glueball spectrum for the confining, non-conformal $\mathcal{N}=1$ theory realized by the KS dual, by solving linearized type IIB supergravity equations for the dilaton and a complex two-form on the deformed conifold. After KK reduction on $S^3$ and applying a plane-wave ansatz with regularity at the IR and normalizability in the UV, the authors obtain radial eigenvalue problems and determine the first two $0^{++}$ and the first two $1^{--}$ states using a shooting method. The resulting masses, in units of $\epsilon^{4/3}$, are $(m^2)_{0^{++}}=9.78$, $(m^2)_{0^{++*}}=33.17$, $(m^2)_{1^{--}}=14.05$, $(m^2)_{1^{--*}}=42.90$. This work provides a concrete holographic extraction of confinement-related observables in a non-conformal gauge theory and sets the stage for extensions to higher-spin and mixed supergravity states.

Abstract

We obtain the spectrum of glueball masses for the N=1 non-conformal cascade theory whose supergravity dual was recently constructed by Klebanov and Strassler. The glueball masses are calculated by solving the supergravity equations of motion for the dilaton and the two-form in the deformed conifold background.