non-Abelian T-duality, G2-structure Rotation and Holographic Duals of N=1 Chern-Simons Theories

TL;DR

This work applies two solution-generating techniques to a deformed Maldacena–Nastase background with an SU(2) isometry to explore holographic duals of 3d N=1 CS-like theories. The G2-structure rotation yields a UV AdS4-like geometry and a two-node quiver with a CS term tied to the D2 Page charge, while non-Abelian T-duality produces a massive IIA background suggesting a three-node quiver with multiple CS levels that shift under large gauge transformations. The analysis defines CS levels via Page charges and demonstrates cascades in ranks and CS levels, highlighting the role of brane WZ terms and flux quantization in the dual field theories. The results illustrate the power of non-Abelian T-duality for generating new holographic backgrounds and invite future work on including flavors and exploring dualities across the rotated and T-dual branches.

Abstract

A new dynamic SU(3)-structure solution in type-IIA is found by T-dualising a deformation of the Maldacena-Nastase solution along an SU(2) isometry. It is argued that this is dual to a quiver gauge theory with multiple Chern-Simons levels. A clear way of defining Chern-Simons levels in terms of Page charges is presented, which is also used to define a Chern-Simons term for the G2-structure analogue of Klebanov-Strassler, providing evidence of a cascade in both the ranks and levels of the dual quiver.