Breaking of Topological Symmetry

Abstract

The coupling of topological matter to topological Yang-Mills theory in four dimensions is considered and a model is presented. It is shown that, contrary to the two-dimensional case, this coupling leads to a breaking of the topological symmetry. This means that the vacuum expectation values of the observables of the theory loose their invariance under small deformations of the metric while the action of the model possesses all the symmetries corresponding to the case with no coupling.

arXiv comment12 pages

References in corpus (2)

• Mirror Manifolds And Topological Field Theory
• Topological Matter in Two Dimensions

Cited by in corpus (10)

• The other topological twisting of N=4 Yang-Mills
• Topological Matter in Four Dimensions
• A TOPOLOGICAL LAGRANGIAN FOR MONOPOLES ON FOUR-MANIFOLDS
• Polynomial Invariants for SU(2) Monopoles
• Non-Abelian Monopoles on Four-Manifolds
• N=2 Supersymmetric QCD and Four Manifolds; (I) the Donaldson and the Seiberg-Witten Invariants
• Cohomological Localization of $\mathcal{N}=2$ Gauge Theories with Matter
• Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension
• Off-shell Invariant D=N=2 Twisted Super Yang-Mills Theory with a Gauged Central Charge without Constraints
• Off-shell invariant super Yang-Mills with gauged central charges for N=D=2 and N=D=4: "Do we need a constraint ?"