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

Ševera, Pavol ; Valach, Fridrich

Communications in mathematical physics, 2020-04, Vol.375 (1), p.307-344 [Periódico revisado por pares]

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Título:
Courant Algebroids, Poisson–Lie T-Duality, and Type II Supergravities
Autor: Ševera, Pavol ; Valach, Fridrich
Assuntos: Classical and Quantum Gravitation ; Complex Systems ; Gaging ; Mathematical analysis ; Mathematical and Computational Physics ; Mathematical Physics ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Supergravity ; Tensors ; Theoretical
É parte de: Communications in mathematical physics, 2020-04, Vol.375 (1), p.307-344
Descrição: 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.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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