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

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.

1+32 pages; v2; Supersymmetry discussion added; references added; Accepted to Phys. Rev. D

References in corpus (6)

• On non-abelian T-dual geometries with Ramond fluxes
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality

Cited by in corpus (1)

• Penrose limits in massive type-IIA AdS${}_3$ background