Penrose limits of Abelian and non-Abelian T-duals of $AdS_5\times S^5$ and their field theory duals

TL;DR

This paper investigates the Penrose limits of Abelian and non-Abelian T-dual backgrounds of $AdS_5\times S^5$, analyzing their string theory quantization and dual field theory operators, revealing a flow in frequencies and connections to higher-dimensional theories.

Contribution

It provides the first detailed study of Penrose limits and plane-wave geometries for T-dual backgrounds of $AdS_5\times S^5$, including quantization and dual field theory analysis.

Findings

Derived plane-wave geometries from T-dual backgrounds.

Quantized type-IIA string theory on these backgrounds.

Identified operators in the dual CFT wrapping the quiver structure.

Abstract

We consider the backgrounds obtained by Abelian and non-Abelian T-duality applied on $AdS_5\times S^5$. We study geodesics, calculate Penrose limits and find the associated plane-wave geometries. We quantise the weakly coupled type-IIA string theory on these backgrounds. We study the BMN sector, finding operators that wrap the original quiver CFT. For the non-Abelian plane wave, we find a 'flow' in the frequencies. We report some progress to understand this, in terms of deconstruction of a higher dimensional field theory. We explore a relation with the plane-wave limit of the Janus solution, which we also provide.