Topological twists of massive SQCD. I. (English) Zbl 07849895
Summary: We consider topological twists of four-dimensional \(\mathcal{N} = 2\) supersymmetric QCD with gauge group SU(2) and \(N_{f} \le 3\) fundamental hypermultiplets. The twists are labelled by a choice of background fluxes for the flavour group, which provides an infinite family of topological partition functions. In this Part I, we demonstrate that in the presence of such fluxes the theories can be formulated for arbitrary gauge bundles on a compact four-manifold. Moreover, we consider arbitrary masses for the hypermultiplets, which introduce new intricacies for the evaluation of the low-energy path integral on the Coulomb branch. We develop techniques for the evaluation of these path integrals. In the forthcoming Part II, we will deal with the explicit evaluation.
For Part II see [“Topological twists of massive SQCD, Part II”, Preprint, arXiv:2312.11616].
For Part II see [“Topological twists of massive SQCD, Part II”, Preprint, arXiv:2312.11616].
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 57R56 | Topological quantum field theories (aspects of differential topology) |
| 57K41 | Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) |
| 14J80 | Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) |
| 57K16 | Finite-type and quantum invariants, topological quantum field theories (TQFT) |
| 11F03 | Modular and automorphic functions |
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