Quantum Moduli Space of the Cascading Sp(p+M) x Sp(p) Gauge Theory

TL;DR

This paper analyzes the quantum moduli space of a cascading Sp(p+M) x Sp(p) gauge theory, extending previous work on SU gauge theories, and relates deformation parameters to brane configurations.

Contribution

It extends the analysis of quantum moduli space to Sp gauge theories and relates deformation parameters to brane configurations, building on prior SU-based studies.

Findings

Quantum moduli space of Sp gauge theory analyzed.

Deformation parameters linked to brane configurations.

Consistent with previous SU gauge theory results.

Abstract

We extend the detailed analysis of the quantum moduli space of the cascading SU(p+M) x SU(p) gauge theory in the recent paper of Dymarsky, Klebanov, and Seiberg for the Sp(p+M) x Sp(p) cascading gauge theory, which lives on the world volume of p D3-branes and M fractional D3-branes at the tip of the orientifolded conifold. As in their paper, we also find in this case that the ratio of the deformation parameters of the quantum constraint on the different branches in the gauge theory can be reproduced by the ratio of the deformation parameters of the conifold with different numbers of mobile D3-branes.