I-odd sector of the Klebanov-Strassler theory

TL;DR

This paper investigates the I-odd sector of the Klebanov-Strassler background, identifying new massive states and multiplets, and computes their mass spectrum, providing insights into dual operators and potential applications in gauge theories.

Contribution

It provides a comprehensive classification of I-odd bosonic states and their multiplets in the Klebanov-Strassler background, including new massive states and their spectra.

Findings

Identified 7 families of massive spin 1 states.

Found that I-odd states form specific supermultiplets.

Computed the mass spectrum of glueballs numerically.

Abstract

The Klebanov-Strassler background is invariant under the Z_2 symmetry I, which acts by exchanging the bi-fundamental fields A and B, accompanied by the charge conjugation. We study the background perturbations in the I-odd sector and find an exhaustive list of bosonic states invariant under the global SU(2)*SU(2) symmetry. In addition to the scalars identified in an earlier publication arXiv:0712.4404 we find 7 families of massive states of spin 1. Together with the spin 0 states they form 3 families of massive vector multiplets and 2 families of massive gravitino multiplets, containing a vector, a pseudovector and fermions of spin 3/2 and 1/2. In the conformal Klebanov-Witten case these I-odd particles belong to the N=1 superconformal Vector Multiplet I and Gravitino Multiplets II and IV. The operators dual to the I-odd singlet sector include those without bi-fundamental fields making an interesting connection with the pure N=1 SYM theory. We calculate the mass spectrum of the corresponding glueballs numerically and discuss possible applications of our results.