On generalised D1-D5 near horizons and their spectra

Mariana Lima; Niall T. Macpherson; Dmitry Melnikov; Luis Ypanaqué

doi:10.1007/JHEP04(2023)060

paper

On generalised D1-D5 near horizons and their spectra

arXiv:2211.02702 · doi:10.1007/JHEP04(2023)060

Abstract

There has been considerable recent interest in type II string compactifications on AdS $_{3} \times$ S $^{3} \times$ M $_{4}$ due to both new progress in the AdS $_{3}$ /CFT $_{2}$ correspondence and an independent search for new $N = (4, 0)$ supergravity solutions. In this work we report a new family of small $N = (4, 0)$ preserving warped AdS $_{3} \times$ S $^{3} \times$ CY $_{2}$ compactifications of type IIB supergravity. The S $^{3}$ in this family is non trivially fibered over the CY $_{2}$ . We show how these new solutions provide a IIB embedding of minimal ungauged $d = 5$ supergravity coupled to an Abelian vector multiplet. We also make a few initial steps towards the identification of dual CFT $_{2}$ candidates. Specifically, we study the Kaluza-Klein spectrum of the spin two and certain vector fluctuations that are expected to be dual to the stress-energy tensor, SU(2) R current and several other BPS operator families in the dual CFT $_{2}$ .

28 pages + appendices

On generalised D1-D5 near horizons and their spectra

Abstract

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