Penrose limits in non-Abelian T-dual of Klebanov-Tseytlin Background

TL;DR

This paper investigates Penrose limits of the Klebanov-Tseytlin background and its non-Abelian T-dual, revealing that only the T-dual admits pp-wave solutions, which could have implications for gauge theory duals.

Contribution

It demonstrates that the non-Abelian T-dual of Klebanov-Tseytlin admits pp-wave solutions under Penrose limits, unlike the original background.

Findings

Klebanov-Tseytlin does not admit pp-wave solutions.

Non-Abelian T-dual admits pp-wave solutions along certain null geodesics.

Potential gauge theory duals for the pp-wave background are discussed.

Abstract

In this paper we consider the Klebanov-Tseytlin background and its non-Abelian T-dual geometry along a suitably chosen $SU(2)$ subgroup of isometries. We analyse the Penrose limits along various null geodesics of both the geometries. We observe that, the Klebanov-Tseytlin geometry does not admit any pp-wave solutions. However, the T-dual background gives rise to pp-wave solution upon taking the Penrose limit along some appropriate null geodesic. We comment on the possible gauge theory dual for our pp-wave background.