Penrose limits in massive type-IIA AdS$_3$ background
| Autor: | Roychowdhury, Sourav, Tripathy, Prasanta K. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. D. 105, 106024 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.105.106024 |
| Popis: | 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. Comment: 1+18 pages; v2; Minor modifications; Accepted to Phys. Rev. D |
| Databáze: | arXiv |
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