Higher T-duality in M-theory via local supersymmetry

TL;DR

This paper introduces a higher T-duality in M-theory derived from super-torsion and brane super-cocycles, involving topology change and exceptional-generalized super-geometry, expanding the understanding of dualities in string/M-theory.

Contribution

It presents a novel higher T-duality in M-theory based on supergeometry and topology change mechanisms, extending string theory dualities to M-theory context.

Findings

Derived a new higher T-duality in M-theory.

Connected topology change to exceptional-generalized super-geometry.

Explained parity symmetry as an isomorphism on 7-twisted cohomology.

Abstract

By analyzing super-torsion and brane super-cocycles, we derive a new duality in M-theory, which takes the form of a higher version of T-duality in string theory. This involves a new topology change mechanism abelianizing the 3-sphere associated with the C-field topology to the 517-torus associated with exceptional-generalized super-geometry. Finally we explain parity symmetry in M-theory within exceptional-generalized super-spacetime at the same level of spherical T-duality, namely as an isomorphism on 7-twisted cohomology.