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arXiv · 2201.03931

Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations

Ladislav Hlavaty
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Abstract

We investigate two types of transformations that keep NS-NS Generalized Supergravity Equations satisfied : $\chi$-symmetry that shifts dilaton and gauge transformations that change both dilaton and vector field $J$. Due to these symmetries there is a large set of dilatons and vector fields $J$ that (for a fixed metric and B-field) satisfy Generalized Supergravity Equations but only some of them can be be used as input for Poisson--Lie transformations. Conditions that define the admissible dilatons are given and examples are presented.

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Ladislav Hlavaty. 2022-01-11. Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations. https://doi.org/10.1140/epjc/s10052-022-11042-0

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