Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories

Abstract

Mass perturbations of the twisted N=4 supersymmetric gauge theory considered by Vafa and Witten to test S-duality are studied for the case of Kahler four-manifolds. It is shown that the resulting mass-perturbed theory can be regarded as an equivariant extension associated to a U(1) symmetry of the twisted theory, which is only present for Kahler manifolds. In addition, it is shown that the partition function, the only topological invariant of the theory, remains invariant under the perturbation.

36 pages, phyzzx, a footnote and two references added

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• Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
• Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions
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Cited by in corpus (16)

• Superconformal invariance and the geography of four-manifolds
• The Vafa-Witten Theory for Gauge Group SU(N)
• Duality in twisted N=4 supersymmetric gauge theories in four dimensions
• Cohomological Yang-Mills Theories on Kahler 3-Folds
• Duality in Topological Quantum Field Theories
• Torsion and Supersymmetry in Omega-background
• Four flavours, triality and bimodular forms
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• The $u$-plane integral, mock modularity and enumerative geometry
• Cohomological Field Theory Approach to Matrix Strings
• Basic and Equivariant Cohomology in Balanced Topological Field Theory
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Duality in the Context of Topological Quantum Field Theory
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills
• $\mathcal{N}=2^{\ast }$ Yang-Mills on the Lattice
• Higgs Bundles and Four Manifolds