2021/02/16 by Suszek, Rafał R.
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2102.08202
A novel Lie-superalgebraic description of the superstring in the super-Minkowskian background is extracted from the Cartan-Eilenberg super-1-gerbe geometrising the higher gauge field (the Green-Schwarz super-3-cocycle) that couples to the supercharge carried by the superstring. The description assumes the form of a hierarchy of Lie superalgebras integrable to a hierarchy of Lie supergroups and provides a manifestly supersymmetric model of a family of supermanifolds defining a trivialisation of the super-1-gerbe over the embedded superstring worldsheet. The trivialisation, obtained in a purely topological formulation of the superstring dynamics dual to the standard Nambu-Goto-type one, conforms with the gerbe-theoretic representation of extended sources of higher gauge fields known from previous studies of the σ-model of the bosonic string.