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Poisson-Lie T-duality revisited: Language of Courant algebroids

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Jan Vysoký
Czech Academy of Sciences, Prague
Wed, 2017-07-12 10:30 - 12:00
MPIM Lecture Hall

In 1995 Klimčík and Ševera proposed a new kind of duality for two-dimensional sigma models targeted in two mutually dual Poisson-Lie groups. Recently, Ševera has shown that the geometry behind this so called Poisson-Lie T-duality corresponds to a reduction of certain Courant algebroids.  During this seminar, we will in recall the (Lie and Courant) algebroid content of the PLT scenario. Consequently, one can consider the duality on the level of effective actions corresponding to the dual sigma models.  We propose a solution to this question using Levi-Civita connections on Courant algebroids.

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