Donaldson-Witten Functions of Massless N=2 Supersymmetric QCD

Abstract

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.

22 pages, Latex, no figures

References in corpus (1)

• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, I

Cited by in corpus (4)

• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• Closed Sub-Monodromy Problems, Local Mirror Symmetry and Branes on Orbifolds
• The $u$-plane integral, mock modularity and enumerative geometry
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings