Generalized Ricci flow and (Poisson-Lie) T-duality (Pavol Severa, University of Geneva)

07.04.2020 15:00 – 17:00

Ricci flow, also known as renormalization group flow of 2-dim sigma models, can be generalized to a flow of generalized metrics in arbitrary Courant algebroids (the usual Ricci flow corresponds to the case of exact Courant algeboids). This implies that Poisson-Lie T-duality (a non-abelian generalization of T-duality) of 2-dimensional sigma models is compatible with the renormalization group flow. One can also get a slightly stronger result (compatibility with SUGRA equations) using a natural Laplacian operator given by the generalized metric.

In general, Poisson-Lie-type dualities (which in dim=4 include the usual electric-magnetic duality) come from topological field theories (AKSZ models, e.g. Chern-Simons theory) with suitable boundary conditions. I will conclude with a bit of wishful thinking about how to get from here the generalized Ricci flow.

Lieu

Join the Zoom session https://unige.zoom.us/j/512796617, Séminaire "Groupes de Lie et espaces des modules"

entrée libre