An associative star-three-product and applications to M two/M five-brane theory
High Energy Physics - Theory
2010-11-23 v3
Abstract
The star-product between functions enable us to take the large limit in a controlled way. At finite it serves as a substitute for matrix multiplications. Non-abelian gauge theory can be deconstructed from lower dimensional gauge theories using star-products. In this paper we extend the star-product to a star-three-product. We then apply the star-three-product to realize hermitian three-algebra of ABJM theory. We define a fuzzy three-torus. We deconstruct Abelian M five-brane in a constant background three-form potential on a fuzzy three-torus. We deconstruct non-Abelian extensions which might be related with multiple M five branes. We also mention the fuzzy three-sphere case.
Cite
@article{arxiv.1008.0902,
title = {An associative star-three-product and applications to M two/M five-brane theory},
author = {Andreas Gustavsson},
journal= {arXiv preprint arXiv:1008.0902},
year = {2010}
}
Comments
53 pages