Courant Algebroids, Poisson–Lie T-Duality, and Type II Supergravities

Pavol Ševera, Fridrich Valach

Research output: Contribution to journalArticlepeer-review


We reexamine the notions of generalized Ricci tensor and scalar curvature on a general Courant algebroid, reformulate them using objects natural w.r.t. pull-backs and reductions, and obtain them from the variation of a natural action functional. This allows us to prove, in a very general setup, the compatibility of the Poisson–Lie T-duality with the renormalization group flow and with string background equations. We thus extend the known results to a much wider class of dualities, including the cases with gauging (so called dressing cosets, or equivariant Poisson–Lie T-duality). As an illustration, we use the formalism to provide new classes of solutions of modified supergravity equations on symmetric spaces.

Original languageEnglish
Pages (from-to)307-344
Number of pages38
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - 1 Apr 2020


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