AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory

TL;DR

This paper investigates a class of local solutions in type IIB supergravity featuring warped AdS_3 and a seven-dimensional internal space, focusing on extending these solutions globally with proper flux quantization.

Contribution

It provides a detailed analysis of extending local supergravity solutions to globally consistent string theory backgrounds with specific internal topology and flux quantization.

Findings

Successful extension to globally well-defined solutions

Internal space topology confirmed as S^3 x S^3 x S^1

Proper flux quantization achieved

Abstract

We analyse a recently constructed class of local solutions of type IIB supergravity that consist of a warped product of AdS_3 with a seven-dimensional internal space. In one duality frame the only other non-vanishing fields are the NS three-form and the dilaton. We analyse in detail how these local solutions can be extended to globally well-defined solutions of type IIB string theory, with the internal space having topology S^3 x S^3 x S^1 and with properly quantised three-form flux.