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