Courant Algebroids, Poisson–Lie T-Duality, and Type II Supergravities
| Autor: | Fridrich Valach, Pavol Ševera |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
T-duality
Pure mathematics Supergravity 010102 general mathematics Statistical and Nonlinear Physics 01 natural sciences Courant algebroid 0103 physical sciences Coset Equivariant map String background 010307 mathematical physics 0101 mathematics Mathematical Physics Ricci curvature Mathematics Scalar curvature |
| Zdroj: | Communications in Mathematical Physics. 375:307-344 |
| ISSN: | 1432-0916 0010-3616 |
| DOI: | 10.1007/s00220-020-03736-x |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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