01348nas a2200241 4500008004100000022001400041245010800055210006900163300001200232490000800244520055100252653000800803653002500811653002900836653002900865653001800894653003000912100002300942700002000965700002600985700002401011856007101035 2017 eng d a0393-044000aGauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants0 aGauge theories on compact toric surfaces conformal field theorie a40 - 500 v1183 a
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 $\mathcal{N}=2$ supersymmetric gauge theories and two-dimensional conformal field theory. Talk presented by A.T. at the conference Interactions between Geometry and Physics — in honor of Ugo Bruzzo’s 60th birthday 17–22 August 2015, Guarujá, São Paulo, Brazil, mostly based on Bawane et al. (0000) and Bershtein et al. (0000).
10aAGT10aDonaldson invariants10aEquivariant localization10aExact partition function10aSupersymmetry10aVirasoro conformal blocks1 aBershtein, Mikhail1 aBonelli, Giulio1 aRonzani, Massimiliano1 aTanzini, Alessandro uhttp://www.sciencedirect.com/science/article/pii/S0393044017300165