Euclidean SYM theories by time reduction and special holonomy manifolds
Jun, 1997Citations per year
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.Note:
- 21 pages, LaTeX file
- gauge field theory: Yang-Mills
- supersymmetry
- field theory: Euclidean
- R parity
- symmetry: chiral
- Donaldson theory
- field theory: Kaehler
- symmetry breaking
- group theory: representation
- holonomy
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