Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations
Abstract We investigate two types of transformations that keep NS–NS generalized supergravity equations satisfied: $$\chi $$ χ -symmetry (20) that shifts dilaton and gauge transformations (30) that change both dilaton and vector field J. Due to these symmetries there is a large set of dilatons and v...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-11042-0 |
| Summary: | Abstract We investigate two types of transformations that keep NS–NS generalized supergravity equations satisfied: $$\chi $$ χ -symmetry (20) that shifts dilaton and gauge transformations (30) 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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| ISSN: | 1434-6052 |