Ricci-Parallelizable Spaces in the NS-NS Sector: AdS_3 x S^7

TL;DR

This paper introduces a class of solutions in string theory's NS-NS sector, focusing on Ricci-parallelizable spaces like AdS_3 x S^7, with potential implications for brane configurations.

Contribution

It constructs a new class of nondilatonic solutions using Ricci-parallelizable spaces, exemplified by AdS_3 x S^7, expanding the landscape of known string backgrounds.

Findings

Solutions are products of Ricci-parallelizable spaces with specific radii.

AdS_3 x S^7 is a key example within this class.

Comments suggest possible connections to brane configurations.

Abstract

We provide a class of nondilatonic solutions to the NS-NS sector of string theory. The solutions consist of products of Ricci-parallelizable spaces with adjusted radii. A representative of this class, AdS_3 x S^7, is presented in detail. Some comments on possible brane connections are made.