Large N limit of 2D Yang-Mills theory and instanton counting

Toshihiro Matsuo, So Matsuura, Kazutoshi Ohta

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2 Citations (Scopus)

Abstract

We examine the two-dimensional U(N) Yang-Mills theory by using the technique of random partitions. We show that the large N limit of the partition function of the 2D Yang-Mills theory on S2 reproduces the instanton counting of 4D N = 2 supersymmetric gauge theories introduced by Nekrasov. We also discuss that we can take the "double scaling limit" by fixing the product of the N and cell size in Young diagrams, and the effective action given by Douglas and Kazakov is naturally obtained by taking this limit. We give an interpretation for our result from the view point of the superstring theory by considering a brane configuration that realizes 4D N = 2 supersymmetric gauge theories.

Original languageEnglish
Pages (from-to)643-660
Number of pages18
JournalJournal of High Energy Physics
Issue number3
Publication statusPublished - 2005 Mar 1
Externally publishedYes

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Keywords

  • Field Theories in Lower Dimensions
  • Solitons Monopoles and Instantons
  • Supersymmetric Effective Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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