Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
High Energy Physics - Theory
2009-11-07 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we study the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of GL(D,R). We prove a generalization of the Poincare lemma which enables us to solve the above-mentioned problems in a systematic and unified way.
Cite
@article{arxiv.hep-th/0208058,
title = {Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma},
author = {Xavier Bekaert and Nicolas Boulanger},
journal= {arXiv preprint arXiv:hep-th/0208058},
year = {2009}
}
Comments
Latex, 43+1 pages, some proofs reorganised for clarity, references added, final version accepted for publication in CMP