Poisson–Lie transformations and generalized supergravity equations

Poisson–Lie transformations and generalized supergravity equations

Abstract In this paper we investigate Poisson–Lie transformation of dilaton and vector field $${\mathcal {J}}$$ 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 e...

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Main Authors: Ladislav Hlavatý, Ivo Petr
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09254-x
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spelling doaj-bc1fddf8d6724a2694fbf48e3e27cb2f2021-06-06T11:46:57ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-05-018151810.1140/epjc/s10052-021-09254-xPoisson–Lie transformations and generalized supergravity equationsLadislav Hlavatý0Ivo Petr1Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in PragueFaculty of Information Technology, Czech Technical University in PragueAbstract In this paper we investigate Poisson–Lie transformation of dilaton and vector field $${\mathcal {J}}$$ 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.https://doi.org/10.1140/epjc/s10052-021-09254-x
collection DOAJ
language English
format Article
sources DOAJ
author Ladislav Hlavatý
Ivo Petr
spellingShingle Ladislav Hlavatý
Ivo Petr
Poisson–Lie transformations and generalized supergravity equations
European Physical Journal C: Particles and Fields
author_facet Ladislav Hlavatý
Ivo Petr
author_sort Ladislav Hlavatý
title Poisson–Lie transformations and generalized supergravity equations
title_short Poisson–Lie transformations and generalized supergravity equations
title_full Poisson–Lie transformations and generalized supergravity equations
title_fullStr Poisson–Lie transformations and generalized supergravity equations
title_full_unstemmed Poisson–Lie transformations and generalized supergravity equations
title_sort poisson–lie transformations and generalized supergravity equations
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-05-01
description Abstract In this paper we investigate Poisson–Lie transformation of dilaton and vector field $${\mathcal {J}}$$ 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.
url https://doi.org/10.1140/epjc/s10052-021-09254-x
work_keys_str_mv AT ladislavhlavaty poissonlietransformationsandgeneralizedsupergravityequations
AT ivopetr poissonlietransformationsandgeneralizedsupergravityequations
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