Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations [article]

Ladislav Hlavaty
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.
doi:10.48550/arxiv.2201.03931 fatcat:f7g7zb3cqbektpdm5yfsmhgmoa