$\mathcal{N}=(0,2)$ AdS$_3$ Solutions of Type IIB and F-theory with Generic Fluxes

TL;DR

This paper classifies the most general AdS3 solutions in type IIB supergravity with $ abla$SU(3) structures, revealing new classes of solutions with various brane configurations and fluxes, including a novel infinite family with all fluxes active.

Contribution

It provides a comprehensive classification of AdS3 solutions with dynamical SU(3) structures, encompassing new solution classes with diverse brane and flux configurations.

Findings

Classifies three distinct solution types based on SU(3) structure degeneracy.

Identifies solutions with holomorphic and non-holomorphic axio-dilaton variations.

Constructs a new infinite family of solutions with all fluxes active.

Abstract

We consider the most general AdS$_3$ solutions of type IIB supergravity admitting a dynamical SU$(3)$ structure and preserving $\mathcal{N}=(0,2)$ supersymmetry. The analysis is broken into three distinct classes depending on whether the dynamical SU$(3)$ structure degenerates to a strict SU$(3)$ structure. The first class we consider allows for a holomorphically varying axio-dilaton consistent with the presence of $(p,q)$ 7-branes in addition to D3-branes and $(p,q)$ 5-branes. In the remaining two classes the axio-dilaton may vary but does not do so holomorphically. The second class of solution allows for 5-branes and 1-branes but no D3-branes, whilst in the final class all branes can be present. We illustrate our results with examples of such solutions including a new infinite family with all fluxes but the axion turned on.