Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
High Energy Physics - Theory
2009-10-30 v1
Abstract
Euclidean supersymmetric theories are obtained from Minkowskian theories by performing a reduction in the time direction. This procedure elucidates certain mysterious features of Zumino's N=2 model in four dimensions, provides manifestly hermitian Euclidean counterparts of all non-mimimal SYM theories, and is also applicable to supergravity theories. We reanalyse the twists of the 4d N=2 and N=4 models from this point of view. Other applications include SYM theories on special holonomy manifolds. In particular, we construct a twisted SYM theory on Kaehler 3-folds and clarify the structure of SYM theory on hyper-Kaehler 4-folds.
Keywords
Cite
@article{arxiv.hep-th/9706225,
title = {Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds},
author = {Matthias Blau and George Thompson},
journal= {arXiv preprint arXiv:hep-th/9706225},
year = {2009}
}
Comments
21 pages, LaTeX file