Summer School of the CRC 1624: Higher structures, moduli spaces and integrability

Higher groupoids and generalized Kähler geometry

Not scheduled

50m

Universität Hamburg

Speaker

Marco Gualtieri (University of Toronto, UPC in Barcelona)

Description

The traditional description of the 2-dimensional sigma model with N=(2,2) supersymmetry involves a target geometry known as a generalized Kähler metric. Recently, we have understood that this description is only infinitesimal in nature, and that a full description of the model requires the specification of analogues of principal bundles in the form of holomorphic symplectic 2-groupoid principal bundles. We shall see how such higher groupoids may be constructed using quasi-Hamiltonian reduction techniques in the case of the WZW model.