Vortex counting from field theory

Toshiaki Fujimori, Taro Kimura, Muneto Nitta, Keisuke Ohashi

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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 number151
JournalJournal of High Energy Physics
Volume2012
Issue number6
DOIs
Publication statusPublished - 2012

Fingerprint

partitions
counting
vortices
matrices
tangents
gauge theory
fine structure

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Vortex counting from field theory. / Fujimori, Toshiaki; Kimura, Taro; Nitta, Muneto; Ohashi, Keisuke.

In: Journal of High Energy Physics, Vol. 2012, No. 6, 151, 2012.

Research output: Contribution to journalArticle

Fujimori, Toshiaki ; Kimura, Taro ; Nitta, Muneto ; Ohashi, Keisuke. / Vortex counting from field theory. In: Journal of High Energy Physics. 2012 ; Vol. 2012, No. 6.
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