Poisson-Lie transformations and Generalized Supergravity Equations

TL;DR

This paper examines how Poisson-Lie transformations affect fields in Generalized Supergravity Equations, identifying limitations of existing formulas and proposing modifications to preserve these equations.

Contribution

It introduces necessary modifications to Poisson-Lie transformation formulas to maintain Generalized Supergravity Equations beyond isometric sigma models.

Findings

Original formulas fail for non-isometric models

Proposed modifications restore validity of equations

Examples demonstrate improved consistency

Abstract

In this paper we investigate Poisson-Lie transformation of dilaton and vector field J appearing in Generalized Supergravity Equations. While the formulas appearing in literature work well for isometric sigma models, we present examples for which Generalized Supergravity Equations are not preserved. Therefore, we suggest modification of these formulas.