On \( \mathcal{I} \)-even singlet glueballs in the Klebanov-Strassler theory

In this note we study vector fluctuations over the Klebanov-Strassler type IIB supergravity solution that are even under the \( \mathcal{I} \)-conjugation. We are interested only in the states invariant under the global SU(2) × SU(2) symmetry. Apart from the glueball dual to the \( U{(1)_\mathcal{R}} \) current there is only one extra 1++ state, which is a member of a massive vector multiplet containing also a scalar 0++. This result allows to extract one tower of 0++ glueballs from the full spectrum of 0++ states found in earlier works. It also allows to complete the list of light singlet supermultiplets in the Klebanov-Strassler theory.