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

TitleGauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants
Publication TypeJournal Article
Year of Publication2017
AuthorsBershtein, M, Bonelli, G, Ronzani, M, Tanzini, A
JournalJournal of Geometry and Physics
Volume118
Pagination40 - 50
ISSN0393-0440
KeywordsAGT; Donaldson invariants; Equivariant localization; Exact partition function; Supersymmetry; Virasoro conformal blocks
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 $\mathcal{N}=2$ 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).

URLhttp://www.sciencedirect.com/science/article/pii/S0393044017300165
DOI10.1016/j.geomphys.2017.01.012

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