Non-Abelian Tensors with Consistent Interactions
高能物理 - 理论
2009-11-11 v1
摘要
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.
引用
@article{arxiv.hep-th/0508076,
title = {Non-Abelian Tensors with Consistent Interactions},
author = {Hitoshi Nishino and Subhash Rajpoot},
journal= {arXiv preprint arXiv:hep-th/0508076},
year = {2009}
}
备注
15 pages, no figures