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

Sourav Roychowdhury,Prasanta K Tripathy

doi:10.1103/physrevd.104.126016

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 analyze the Penrose limits along various null geodesics of both geometries. We observe that the Klebanov-Tseytlin geometry does not admit any pp-wave solutions. However, the $T$-dual background gives rise to a 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.

Highlights

String theory on a pp-wave background has been analyzed extensively during the past several decades because they are endowed with a number of unique features [1,2,3,4,5]
It is well known that the field theory dual to the Klebanov-Tseytlin geometry consists of a nonconformal N 1⁄4 1 supersymmetric SUðN þ MÞ × SUðNÞ gauge theory [34]
In this paper we have considered Penrose limits for the Klebaov-Tseytlin geometry and its non-Abelian T dual around a suitable SUð2Þ isometry

Summary

INTRODUCTION

String theory on a pp-wave background has been analyzed extensively during the past several decades because they are endowed with a number of unique features [1,2,3,4,5]. A candidate for the field theory dual of this geometry has been proposed These developments have further been generalized for the non-Abelian T duals of the KlebanovWitten background, which results in placing a stack of D3 branes near a conifold singularity. These dual goemetries give rise to pp-wave solutions upon considering the Penrose limits along appropriate null geodesics [33]. Isometries, an SUð2Þ subgroup of which is used to construct a non-Abelian T-dual background This gives rise to a new massive type-IIA supergravity background [16,24]. We will discuss some aspects of the dual quiver theory before summarizing the results

KLEBANOV-TSEYTLIN BACKGROUND

THE PENROSE LIMITS

J2 2 c05

SUPERSYMMETRY OF pp-WAVE

GAUGE THEORY DUALS

CONCLUSION