Donaldson-Witten functions of massless \(N=2\) supersymmetric QCD. (English) Zbl 0954.57014
Summary: We study the Donaldson-Witten function in four-dimensional topological gauge theory which is constructed from \(N=2\) supersymmetric SU(2) gauge theory with \(N_f<4\) massless fundamental hypermultiplets. When \(N_f=2,3\), the strong-coupling singularities with multiple massless monopoles appear in the moduli space (the \(u\)-plane) of the Coulomb branch. We show that the invariants made out of such singularities exhibit a property which is similar to the one expected for four-manifolds of generalized simple type.
MSC:
| 57R56 | Topological quantum field theories (aspects of differential topology) |
| 81T45 | Topological field theories in quantum mechanics |
| 57R57 | Applications of global analysis to structures on manifolds |
| 11F23 | Relations with algebraic geometry and topology |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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