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arXiv · hep-th/9706225

Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds

Matthias Blau·George Thompson
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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.

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Matthias Blau, George Thompson. 1997-06-30. Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds. https://doi.org/10.1016/s0370-2693(97)01163-5

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