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   Articles with "poisson lie" as a keyword



Para-Hermitian geometries for Poisson-Lie symmetric σ-models

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recommendations! Published in 2019 at "Journal of High Energy Physics"

DOI: 10.1007/jhep10(2019)160

Abstract: Abstract The doubled target space of the fundamental closed string is identified with its phase space and described by an almost para-Hermitian geometry. We explore this setup in the context of group manifolds which admit… read more here.

Keywords: geometries poisson; geometry; poisson lie; para hermitian ... See more keywords
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O(D,D)-covariant two-loop β-functions and Poisson-Lie T-duality

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recommendations! Published in 2021 at "Journal of High Energy Physics"

DOI: 10.1007/jhep10(2021)210

Abstract: Abstract We show that the one- and two-loop β-functions of the closed, bosonic string can be written in a manifestly O(D,D)-covariant form. Based on this result, we prove that1) Poisson-Lie symmetric σ-models are two-loop renormalisable… read more here.

Keywords: loop functions; poisson lie; lie duality; two loop ... See more keywords

Classification of transposed Poisson 3-Lie algebras of dimension 3

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recommendations! Published in 2024 at "Communications in Algebra"

DOI: 10.1080/00927872.2025.2458230

Abstract: Abstract Transposed Poisson 3-Lie algebra is a dual notion of Nambu-Poisson algebra of order 3. In this paper, we explicitly determine all 13-derivations and automorphisms of the unique nontrivial 3-dimensional complex 3-Lie algebra (A3,[·,·,·]). Based… read more here.

Keywords: algebra; poisson lie; algebras dimension; transposed poisson ... See more keywords

Type II DFT solutions from Poisson–Lie $T$-duality/plurality

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recommendations! Published in 2019 at "Progress of Theoretical and Experimental Physics"

DOI: 10.1093/ptep/ptz071

Abstract: String theory has $T$-duality symmetry when the target space has Abelian isometries. A generalization of $T$-duality, where the isometry group is non-Abelian, is known as non-Abelian $T$-duality, which works well as a solution-generating technique in… read more here.

Keywords: duality; plurality; dft; duality plurality ... See more keywords