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arXiv · 2211.02702

On generalised D1-D5 near horizons and their spectra

Mariana Lima·Niall T. Macpherson·Dmitry Melnikov·Luis Ypanaqué
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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 ${\cal N}=(4,0)$ supergravity solutions. In this work we report a new family of small ${\cal N}=(4,0)$ 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$_2$.

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Mariana Lima, Niall T. Macpherson, Dmitry Melnikov, Luis Ypanaqué. 2022-11-04. On generalised D1-D5 near horizons and their spectra. https://doi.org/10.1007/jhep04(2023)060

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