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Title:
4D exotic Donaldson-Witten theory from 5D super-Yang-Mills
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Abstract:
In this talk I shall describe an ongoing joint project with Festuccia, Winding and Zabzine, aiming at generalizing the Donaldson-Witten theory in a natural way. The DW theory computes integrals of certain characteristic classes over the moduli space of anti-self-dual Yang-Mills instantons. We attempt to generalize it in two directions. First, the instanton configuration F^+=0 (where F is the Yang-Mills field strength) is generalized to PF=0, where P is a projector projecting F to a rank 3 sub-bundle of 2-forms. Second, we add equivariance. In the case of DW theory over compact space, equivariance is not strictly necessary, but for our generalization, it is crucial for having a good moduli problem.
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