Poisson-Lie T-plurality for WZW backgrounds

2021/02/01 by Yuho Sakatani, Sakatani, Yuho · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2102.01069

openalex publication_date 2021/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Poisson-Lie T-plurality constructs a chain of supergravity solutions from a Poisson-Lie symmetric solution. We study the Poisson-Lie T-plurality for supergravity solutions with H-flux, which are not Poisson-Lie symmetric but admit non-Abelian isometries, L_vag_mn=0 and L_vaH₃=0 with L_vaB₂≠ 0. After introducing the general procedure, we study the Poisson-Lie T-plurality for two WZW backgrounds, the AdS₃ with H-flux and the Nappi-Witten background.

Citations

• Extended Drinfel'd algebras and non-Abelian duality

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