Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset

TL;DR

This paper constructs a supergravity background for the lambda-deformation of the AdS_3 x S^3 supercoset, providing a more natural setting for superstring studies and advancing towards similar deformations of AdS_5 x S^5.

Contribution

It presents the first supergravity solution for the lambda-deformation of the AdS_3 x S^3 supercoset, highlighting features relevant for superstring theory and progress on AdS_5 x S^5.

Findings

Constructed the supergravity background for the lambda-deformed AdS_3 x S^3 supercoset.

Identified features distinguishing the superstring background from the bosonic case.

Reported progress towards lambda-deformation of the AdS_5 x S^5 supercoset.

Abstract

We construct the solution of type IIB supergravity describing the integrable lambda-deformation of the AdS_3 x S^3 supercoset. While the geometry corresponding to the deformation of the bosonic coset has been found in the past, our background is more natural for studying superstrings, and several interesting features distinguish our solution from its bosonic counterpart. We also report progress towards constructing the lambda-deformation of the AdS_5 x S^5 supercoset.