A Cartan tale of the orbifold superstring
arXiv:2311.01143
Abstract
A geometrisation scheme internal to the category of Lie supergroups is discussed for the supersymmetric de Rham cocycles on the super-Minkowski group which determine the standard super--brane dynamics with that target, and interpreted within Cartan's approach to the modelling of orbispaces of group actions by homotopy quotients. The ensuing higher geometric objects are shown to carry a canonical equivariant structure for the action of a discrete subgroup of , which results in their descent to the corresponding orbifolds of and in the emergence of a novel class of superfield theories with defects.
11 pages, to appear in the Proceedings of the XII International Symposium on Quantum Theory and Symmetries, July 24-28 2023, Prague