Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants

Alessandro Tanzini; Giulio Bonelli; Massimiliano Ronzani; Mikhail Bershtein

arxiv: 1606.07148 · v2 · pith:SP4YRFRYnew · submitted 2016-06-23 · ✦ hep-th · math.AG· math.RT

Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants

Mikhail Bershtein , Giulio Bonelli , Massimiliano Ronzani , Alessandro Tanzini This is my paper

classification ✦ hep-th math.AGmath.RT

keywords conformaltheoriescompactdonaldsonequivariantfieldgaugesurfaces

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We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N = 2 supersymmetric gauge theories and two-dimensional conformal field theory.

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