Going down from a 3-form in 16 dimensions

Abstract

Group theory indicates the existence of a $SO(8)XSO(7)\subset SO(16)$ invariant self-duality equation for a 3-form in 16 dimensions. It is a signal for interesting topological field theories, especially on 8-dimensional manifolds with holonomy group smaller than or equal to Spin(7), with a gauge symmetry that is SO(8) or SO(7). Dimensional reduction also provides new supersymmetric theories in 4 and lower dimensions, as well as a model with gravitational interactions in 8 dimensions, which relies on the octonionic gravitational self-duality equation.

14 pages

References in corpus (7)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Special Quantum Field Theories In Eight And Other Dimensions
• Higher Dimensional Analogues of Donaldson-Witten Theory
• Octonionic Gravitational Instantons
• Eight-Dimensional Self-Dual Spaces
• On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms
• Remarks on Covariant Matrix Strings

Cited by in corpus (1)

• Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds