2d partition function in Ω-background and vortex/instanton correspondence

Toshiaki Fujimori, Taro Kimura, Muneto Nitta, Keisuke Ohashi

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


Abstract: We derive the exact vortex partition function in 2d N=(2,2) gauge theory on the Ω-background, applying the localization scheme in the Higgs phase. We show that the partition function at a finite Ω-deformation parameter ϵ satisfies a system of differential equations, which can be interpreted as a quantized version of the twisted F-term equations characterizing the SUSY vacua. Using the differential equations derived in this paper, we show the correspondence between the partition function of the two-dimensional vortex string worldsheet theory and the Nekrasov partition function at the root of Higgs branch of the four-dimensional N=2 theory with two Ω-deformation parameters (ϵ1, ϵ2).

Original languageEnglish
Article number110
Pages (from-to)1-41
Number of pages41
JournalJournal of High Energy Physics
Issue number12
Publication statusPublished - 2015 Dec 1


  • Field Theories in Lower Dimensions
  • Solitons Monopoles and Instantons
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of '2d partition function in Ω-background and vortex/instanton correspondence'. Together they form a unique fingerprint.

Cite this