Topological matter in four dimensions. (English) Zbl 0941.58501
Summary: Topological models involving matter couplings to Donaldson-Witten theory are presented. The construction is carried out using both the topological algebra and its central extension, which arise from the twisting of \(N=2\) supersymmetry in four dimensions. The framework on which the construction is based is constituted by the superspace associated to these algebras. The models show new features of topological quantum field theories which could provide either a mechanism for topological symmetry breaking, or the analogue of two-dimensional mirror symmetry in four dimensions.
MSC:
| 58D29 | Moduli problems for topological structures |
| 57R57 | Applications of global analysis to structures on manifolds |
| 58D27 | Moduli problems for differential geometric structures |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T70 | Quantization in field theory; cohomological methods |
Keywords:
Donaldson-Witten theory; \(N=2\) supersymmetry; superspace; topological quantum field theories; topological symmetry breaking; mirror symmetryReferences:
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