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T-duality and exceptional generalized geometry through symmetries of dg-manifolds

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Bernardo Uribe
Universidad de los Andes / HIM
Mit, 24/10/2012 - 10:00 - 11:30
MPIM Lecture Hall

I will explain how to obtain the T-duality isomorphism discovered by Peter Bouwknegt, Jarah Evslin, and Varghese Mathai in 2004 from the point of view of dg-manifolds. As a byproduct of this approach, one can recover the exceptional $B_n$ generalized geometry defined recently by Baraglia as the derived dg-Leibniz algebra of the fixed points of the T-dual automorphism acting on the symmetries of a self T-dual dgmanifold.

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