Glueballs in the Klebanov-Strassler Theory: Pseudoscalars vs Scalars

TL;DR

This paper investigates the spectrum of pseudoscalar and scalar glueballs in the Klebanov-Strassler theory, revealing similarities in most towers but divergence in two, prompting discussions on their interpretations.

Contribution

It provides a numerical analysis of the $0^{+-}$ pseudoscalar glueball spectrum and compares it with scalar spectra within the Klebanov-Strassler background, highlighting key differences.

Findings

Four towers of pseudoscalar states match scalar spectrum.

Two towers of pseudoscalar states diverge from scalar spectrum.

Discussion on possible interpretations of spectral divergence.

Abstract

We discuss the $0^{+-}$ singlet sector of glueballs in the Klebanov-Strassler theory. We report the results of a numerical study of the linearized equations in the Klebanov-Strasller background and make a comparison with the spectrum of the scalar sector. While for four towers of the total six towers of massive pseudoscalar states our results match the spectrum of the corresponding towers of scalars, the values for the remaining two towers diverge with those of the scalars. We discuss possible interpretations of this divergence.