Supersymmetric backgrounds from $\lambda$-deformations

TL;DR

This paper presents the first supersymmetric embedding of an integrable $$-deformation into type-II supergravity, specifically for the near horizon of NS1-NS5 branes, preserving a quarter of the maximal supersymmetry.

Contribution

It introduces a novel supersymmetric background from $$-deformation in supergravity, expanding the understanding of integrable deformations in string theory.

Findings

Preserves 1/4 of the maximal supersymmetry in the deformed background.

In the Penrose limit, preserves no more than half of the maximal supersymmetry.

Provides a geometric realization of $$-deformation in supergravity context.

Abstract

We provide the first supersymmetric embedding of an integrable $\lambda$-deformation to type-II supergravity. Specifically, that of the near horizon of the NS1-NS5 brane intersection, geometrically corresponding to $AdS_3 \times S^3 \times T^4$. We show that the deformed background preserves 1/4 of the maximal supersymmetry. In the Penrose limit we show that it preserves no-more than one half of the maximal supersymmetry.