Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
Preprint
- 30 June 1997
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
All Related Versions
- Version 1, 1997-06-30, ArXiv
- Published version: Physics Letters B, 415 (3), 242.
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