On the Deformation Quantization Description of Matrix Compactifications
高能物理 - 理论
2010-11-19 v2
摘要
Matrix theory compactifications on tori have associated Yang-Mills theories on the dual tori with sixteen supercharges. A noncommutative description of these Yang-Mills theories based in deformation quantization theory is provided. We show that this framework allows a natural generalization of the `Moyal B-deformation' of the Yang-Mills theories to non-constant background B-fields on curved spaces. This generalization is described through Fedosov's geometry of deformation quantization.
引用
@article{arxiv.hep-th/9804188,
title = {On the Deformation Quantization Description of Matrix Compactifications},
author = {Hugo Garcia-Compean},
journal= {arXiv preprint arXiv:hep-th/9804188},
year = {2010}
}
备注
25 pages, harvmac file, no figures, corrected typos, added references, one comment added in sec. 4