On spectator dependence of Jacobi-Lie T-plurality

TL;DR

This paper explores the extension of Jacobi-Lie T-plurality in string theory by incorporating spectator fields modified by arbitrary functions, enabling the construction of new supergravity solutions through sigma models.

Contribution

It introduces a novel approach to Jacobi-Lie T-plurality with spectators, allowing for the generation of new supergravity-compatible sigma model backgrounds.

Findings

Constructed new sigma model backgrounds satisfying supergravity equations.

Demonstrated that plurals of these backgrounds also satisfy supergravity equations.

Extended Jacobi-Lie T-plurality to include arbitrary functions in spectator fields.

Abstract

Recently introduced Jacobi-Lie T-plurality turned out to be a solution-generating technique in string theory. Being based on Leibniz algebras instead of Drinfeld doubles, it can be understood as a generalization of Poisson-Lie T-plurality. In this paper we investigate Jacobi-Lie T-plurality with spectators, and focus particularly on modification of the spectator fields by an arbitrary function $f$. Using this modification new sigma model backgrounds can be constructed as Jacobi-Lie models. For low-dimensional Leibniz algebras classified a few years ago and warping factor $f(\omega)=\gamma\, e^{\omega}$ we find sigma model backgrounds satisfying Supergravity Equations and check that their plurals again satisfy Supergravity Equations.