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

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arxiv 1606.07148 v2 pith:SP4YRFRY submitted 2016-06-23 hep-th math.AGmath.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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Cited by 2 Pith papers

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    Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bund...

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    hep-th 2026-07 conditional novelty 6.0

    5D N=1* supersymmetric localization on toric surfaces equals refined Vafa–Witten invariants for odd first Chern class; the even-c1 case fails without a hand-added constant.