Faculty of Mathematics, Physics
and Informatics

Seminar of Theoretical Physics - Fridrich Valach (25.4.2017)

Tuesday 25.4.2017 at 14:00, Lecture room F2/125

06. 04. 2017 14.52 hod.
By: Peter Maták

Fridrich Valach (Université de Genève):
Ricci Flow, Courant Algebroids, and Renormalization of Poisson-Lie T-Duality

(Abelian) T-duality (in the simplest case) states that the string theory for a spacetime having one direction compactified on a circle is invariant under the inversion of the radius of this circle, from R to 1/R. In this talk we will use Courant algebroids to describe the Poisson-Lie T-duality, which is a generalization of the above, introduced by Klimčík and Ševera in 1995. In this framework we will define a generalized Ricci tensor and use it to prove that the most general Poisson-Lie T-duality is compatible with the 1-loop renormalization group flow.