Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants
Abstract
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.
- Publication:
-
Journal of Geometry and Physics
- Pub Date:
- August 2017
- DOI:
- 10.1016/j.geomphys.2017.01.012
- arXiv:
- arXiv:1606.07148
- Bibcode:
- 2017JGP...118...40B
- Keywords:
-
- Exact partition function;
- Supersymmetry;
- Equivariant localization;
- Donaldson invariants;
- Virasoro conformal blocks;
- AGT;
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Representation Theory
- E-Print:
- 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, Guaruj\'a, S\~ao Paulo, Brasil, mostly based on [arXiv:1411.2762] and [arXiv:1509.00267]. 13 pages. Version published in Journal of Geometry and Physics