On generalised D1-D5 near horizons and their spectra

TL;DR

This paper introduces a new family of warped AdS$_3$ solutions in type IIB supergravity with non-trivially fibered S$^3$, providing insights into their dual CFT$_2$ spectra and embedding minimal supergravity models.

Contribution

It presents novel warped AdS$_3$ solutions with non-trivial S$^3$ fibrations and explores their embedding in type IIB supergravity, advancing the understanding of dual CFT$_2$ spectra.

Findings

New warped AdS$_3$ solutions with non-trivial S$^3$ fibrations.

Identification of the supergravity embedding of minimal ungauged 5D supergravity.

Analysis of the KK spectrum related to stress-energy and R currents.

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$_2$.