Duality symmetry and the form fields of M-theory

Abstract

In previous work we derived the topological terms in the M-theory action in terms of certain characters that we defined. In this paper, we propose the extention of these characters to include the dual fields. The unified treatment of the M-theory four-form field strength and its dual leads to several observations. In particular we elaborate on the possibility of a twisted cohomology theory with a twist given by degrees greater than three.

arXiv comment12 pages, modified material on the differential

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Cited by in corpus (20)

• Equivariant Cohomotopy implies orientifold tadpole cancellation
• Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
• The Rational Higher Structure of M-theory
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Can D-Branes Wrap Nonrepresentable Cycles?
• Gauge enhancement of super M-branes via parametrized stable homotopy theory
• Real ADE-equivariant (co)homotopy and Super M-branes
• M/F-Theory as Mf-Theory
• An approach to anomalies in M-theory via KSpin
• Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
• Lie n-algebras of BPS charges
• The Elliptic curves in gauge theory, string theory, and cohomology
• A Higher Twist in String Theory
• Duality and cohomology in M-theory with boundary
• Flux Quantization
• M-theory, the signature theorem, and geometric invariants
• Flux Quantization on M5-branes
• Flux Quantization on 11-dimensional Superspace
• Flux Quantization on Phase Space
• Phantom BTZ black holes