The higher supergeometry of the super-σ-model

Rafał R. Suszek (U Warsaw)

Sep 17. 2020, 14:00 -- 15:00

A class of low-dimensional field theories, termed super-σ-models and used to model simple geometric dynamics of extended distributions of Z/2Z-graded charge in homogeneous spaces of Lie supergroups, shall be reviewed, with emphasis on the supersymmetries present, both global and local. A (super)geometrisation scheme for the classes in the relevant supersymmetry-invariant (Cartan-Eilenberg) cohomology of the supersymmetry group associated with the topological charge shall be presented and basic supersymmetry-invariance and -equivariance properties of the ensuing super-gerbes shall be discussed. The general discussion shall be illustrated on a number of explicit examples, whereby, in particular, asymptotic Ïnönü-Wigner relations between certain physically relevant curved and flat higher supergeometric structures shall be postulated as an integral guiding principle of the (super)geometrisation scheme.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)