On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms

Details On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms On Generalized Self-Duality Equations Towards Supersymmetric Quantum Field Theories Of Forms

1998-01-05

arxiv.org/abs/hep-th/9801014v1

Mod.Phys.Lett. A13 (1998) 1115-1132

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex

Scientific paper

10.1142/S0217732398001194

We classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial requirements. First, there should exist a 2(p+1)-form T invariant under a sub-group H of SO(D). Second, the representation for the SO(D) curvature of the gauge field must decompose under H in a relevant way. When these criteria are fulfilled, the `self-duality' equations can be candidates as gauge functions for SO(D)-covariant and H-invariant topological quantum field theories. Intriguing possibilities occur for dimensions greater than 9, for various p-form gauge fields.

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