Non-Abelian Chiral 2-Form and M5-Branes
arXiv:1206.3983
Abstract
We first review self-dual (chiral) gauge field theories by studying their Lorentz non-covariant and Lorentz covariant formulations. We next construct a non-Abelian self-dual two-form gauge theory in six dimensions with a spatial direction compactified on a circle. This model reduces to the Yang-Mills theory in five dimensions for a small compactified radius R. The model also reduces to the Lorentz-invariant Abelian self-dual two-form theory when the gauge group is Abelian. The model is expected to describe multiple 5-branes in M-theory. We also discuss its decompactified limit, covariant formulation, BRST-antifield quantization and other generalizations.
Master Thesis, 80 pages. v2: references and footnotes added. minor modification
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- Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
- Duality-symmetric actions for non-Abelian tensor fields
- Note on non-Abelian two-form gauge fields
- Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
- Generalized Yang-Mills Theory and Gravity
- Effective actions in =1, D5 supersymmetric gauge theories: harmonic superspace approach
- Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
- Non-Abelian tensor hierarchy in (1,0) D=6 superspace
- One-loop Chern-Simons terms in five dimensions
- Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings