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

Mikhail Bershtein, Giulio Bonelli, Massimiliano Ronzani, Alessandro Tanzini

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

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. Talk1 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).

Original languageEnglish
Pages (from-to)40-50
Number of pages11
JournalJournal of Geometry and Physics
Volume118
DOIs
Publication statusPublished - Aug 2017
Externally publishedYes

Keywords

  • AGT
  • Donaldson invariants
  • Equivariant localization
  • Exact partition function
  • Supersymmetry
  • Virasoro conformal blocks

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