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arXiv · 2203.14212

Penrose limits in massive type-IIA AdS$_3$ background

Sourav Roychowdhury·Prasanta K. Tripathy
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Abstract

In this paper we consider the non-Abelian T-dual geometry of the type $IIB$ supergravity theory on $AdS_3\times S^3\times T^4$ 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 neighbourhood 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.

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Sourav Roychowdhury, Prasanta K. Tripathy. 2022-03-27. Penrose limits in massive type-IIA AdS$_3$ background. https://doi.org/10.1103/physrevd.105.106024

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