Vortex counting from field theory

Toshiaki Fujimori, Taro Kimura, Muneto Nitta, Keisuke Ohashi

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


The vortex partition function in 2d N = (2, 2) U(N) gauge theory is derived from the field theoretical point of view by using the moduli matrix approach. The character for the tangent space at each moduli space fixed point is written in terms of the moduli matrix, and then the vortex partition function is obtained by applying the localization formula. We find that dealing with the fermionic zero modes is crucial to obtain the vortex partition function with the anti-fundamental and adjoint matters in addition to the fundamental chiral multiplets. The orbifold vortex partition function is also investigated from the field theoretical point of view.

Original languageEnglish
Article number28
JournalJournal of High Energy Physics
Issue number6
Publication statusPublished - 2012


  • Field theories in lower dimensions
  • Nonperturbative effects
  • Solitons monopoles and instantons
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Vortex counting from field theory'. Together they form a unique fingerprint.

Cite this