Localization on the D-brane, two-dimensional gauge theory and matrix models

So Matsuura, Kazutoshi Ohta

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider the effective topological field theory on Euclidean D-strings wrapping on a 2-cycle in the internal space. We evaluate the vacuum expectation value of a suitable operator corresponding to the chemical potential of vortices bounded to the D-strings, and find that it reduces to the partition function of generalized two-dimensional Yang-Mills theory as a result of localization. We argue that the partition function gives a grand canonical ensemble of multi-instanton corrections for four-dimensional N=2 gauge theory in a suitable large N limit. We find two-dimensional gauge theories that provide the instanton partition function for four-dimensional N=2 theories with the hypermultiplets in the adjoint and fundamental representations. We also propose a partition function that gives the instanton contributions to four-dimensional N=2 quiver gauge theory. We discuss the relation between Nekrasov's instanton partition function and the Dijkgraaf-Vafa theory in terms of large N phase transitions of the generalized two-dimensional Yang-Mills theory.

Original languageEnglish
Article number046006
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume73
Issue number4
DOIs
Publication statusPublished - 2006
Externally publishedYes

Fingerprint

D-branes
Matrix Models
Gauge Theory
Partition Function
gauge theory
Instantons
partitions
instantons
matrices
Yang-Mills Theory
Yang-Mills theory
strings
Strings
Topological Field Theories
Effective Field Theory
Canonical Ensemble
Quiver
Chemical Potential
Vortex
Euclidean

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Localization on the D-brane, two-dimensional gauge theory and matrix models. / Matsuura, So; Ohta, Kazutoshi.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 73, No. 4, 046006, 2006.

Research output: Contribution to journalArticle

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