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 |
| _version_ | 1811190241475690496 |
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| author | Ladislav Hlavatý |
| author_facet | Ladislav Hlavatý |
| author_sort | Ladislav Hlavatý |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T14:47:56Z |
| format | Article |
| id | doaj.art-3e892784d630485baed63fd6c19304f5 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-11T14:47:56Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-3e892784d630485baed63fd6c19304f52022-12-22T04:17:34ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-11-0182111710.1140/epjc/s10052-022-11042-0Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equationsLadislav Hlavatý0Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in PragueAbstract 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.https://doi.org/10.1140/epjc/s10052-022-11042-0 |
| spellingShingle | Ladislav Hlavatý Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations European Physical Journal C: Particles and Fields |
| title | Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations |
| title_full | Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations |
| title_fullStr | Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations |
| title_full_unstemmed | Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations |
| title_short | Compatibility of Poisson–Lie transformations and symmetries of generalized supergravity equations |
| title_sort | compatibility of poisson lie transformations and symmetries of generalized supergravity equations |
| url | https://doi.org/10.1140/epjc/s10052-022-11042-0 |
| work_keys_str_mv | AT ladislavhlavaty compatibilityofpoissonlietransformationsandsymmetriesofgeneralizedsupergravityequations |