Penrose limits in massive type-IIa AdS3 background

In this paper we consider the non-Abelian T-dual geometry of the type IIB supergravity theory on AdS(3) x S-3 x T-4 background along a convenient SU(2) subgroup of the SO(4) R-symmetry. We examine various null geodesics of the resulting massive type IIA supergravity theory and investigate the Penrose limits along these geodesics. We find that one of the resulting backgrounds admits pp-wave geometry in the neighborhood of a suitable null geodesic. We carry out the supersymmetry analysis of the resulting pp-wave geometry and observe that it preserves sixteen supercharges. Further we comment on the possible gauge theory dual of the resulting pp-wave background.

Automated summary

This paper investigates the non-Abelian T-dual geometry of the IIB supergravity theory on AdS(3) x S-3 x T-4 background and obtains a pp-wave background. The supersymmetry analysis of the resulting pp-wave geometry reveals that it preserves sixteen supercharges. Additionally, the possible gauge theory dual of the pp-wave background is discussed.