Glueball mass spectra for supergravity duals of noncommutative gauge theories

TL;DR

This paper calculates glueball masses in noncommutative super Yang--Mills theories using supergravity duals, revealing a discrete spectrum proportional to the noncommutativity parameter and aligning with finite temperature Yang--Mills results.

Contribution

It provides the first derivation of glueball spectra in noncommutative gauge theories via supergravity, highlighting the effects of noncommutativity on mass spectra.

Findings

Glueball spectrum is discrete due to noncommutativity.

Glueball masses are proportional to the noncommutativity parameter.

WKB approximation results agree with finite temperature Yang--Mills spectra.

Abstract

We derive the glueball masses in noncommutative super Yang--Mills theories in four dimensions via the dual supergravity description. The spectrum of glueball masses is discrete due to the noncommutativity and the glueball masses are proportional to the noncommutativity parameter with dimension of length. The mass spectrum in the WKB approximation closely agrees with the mass spectrum in finite temperature Yang--Mills theory.