Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds

Details Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds

1997-06-30

arxiv.org/abs/hep-th/9706225v1

Phys.Lett. B415 (1997) 242-252

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX file

Scientific paper

10.1016/S0370-2693(97)01163-5

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.

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