Gravity Multiplet on KS and BB Backgrounds

TL;DR

This paper computes the glueball spectra on the Klebanov-Strassler background and its baryonic extension, revealing how the spectra grow with the baryonic parameter, using numerical methods and supersymmetry properties.

Contribution

It provides the first detailed numerical analysis of glueball spectra on KS backgrounds, including the baryonic branch, highlighting supersymmetry's role in spectrum coincidence.

Findings

Glueball spectra grow as m^2 ~ U n^2 for large U.

Spectra of fluctuations in supergravity coincide due to supersymmetry.

Numerical calculations confirm the spectrum behavior on KS backgrounds.

Abstract

In this paper we study the spectra of glueballs on the Klebanov-Strassler background and its extension to the baryonic branch. We numerically calculate the mass spectrum of glueballs from the spin 2 ``gravity'' multiplet, which contains the traceless part of the stress-energy tensor and the transverse part of the U(1) R-current. The mass spectra of the corresponding fluctuations in supergravity coincide due to supersymmetry, which is manifest in the effective five-dimensional theory through a Supersymmetric Quantum Mechanics transformation. We show that the glueball spectra grow as m^2 ~ Un^2 for large values of the baryonic branch parameter U.