Higher T-duality in M-theory via local supersymmetry

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.

7 pages, concise physics letter companion to the mathematically rigorous treatment arXiv:1803.05634; to appear in Phys. Lett. B

References in corpus (4)

• On the Topology and Flux of T-Dual Manifolds
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• A Higher Twist in String Theory
• Spherical T-Duality

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• The character map in (twisted differential) non-abelian cohomology
• Thirty years of Erice on the brane
• Higher Gauge Theory
• Topological actions via gauge variations of higher structures