Poisson-Lie T-plurality for WZW backgrounds

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, ${\mathcal{L}}_{v_a}{g}_{mn}=0$ and ${\mathcal{L}}_{v_a}{H}_3=0$ with ${\mathcal{L}}_{v_a}{B}_2\ne 0$. After introducing the general procedure, we study the Poisson-Lie T-plurality for two WZW backgrounds, the AdS${}_3$ with $H$-flux and the Nappi-Witten background.

32 pages; v2: references added

References in corpus (4)

• Double Field Theory
• Exact conformal field theories from mutually T-dualizable $\sigma$-models
• On the Poisson-Lie T-plurality of boundary conditions
• Extended Drinfel'd algebras and non-Abelian duality