Non-Abelian Tensors with Consistent Interactions

Details Non-Abelian Tensors with Consistent Interactions Non-Abelian Tensors with Consistent Interactions

2005-08-10

arxiv.org/abs/hep-th/0508076v1

Phys.Rev. D72 (2005) 085020

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures

Scientific paper

10.1103/PhysRevD.72.085020

We present a systematic method for constructing consistent interactions for a tensor field of an arbitrary rank in the adjoint representation of an arbitrary gauge group in any space-time dimensions. This method is inspired by the dimensional reduction of Scherk-Schwarz, modifying field strengths with certain Chern-Simons forms, together with modified tensorial gauge transformations. In order to define a consistent field strength of a r-rank tensor B_{\mu_1...\mu_r}^I in the adjoint representation, we need the multiplet (B_{\mu_1...\mu_r}^I, B_{\mu_1...\mu_{r-1}}^{I J}, ..., B_\mu^{I_1...I_r}, B^{I_1... I_{r+1}}). The usual problem of consistency of the tensor field equations is circumvented in this formulation.

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