Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories

Dimitri Nanopoulos; Dan Xie

Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories

High Energy Physics - Theory 2010-05-11 v1

Authors: Dimitri Nanopoulos , Dan Xie

Abstract

In this paper, we study irregular singular solution to Hitchin's equation and use it to describe four dimensional $N=2$ asymptotically free gauge theories. For $SU(2)$ $A$ type quiver, two kinds of irregular singularities besides one regular singularity are needed for the solution of Hitchin's equation; We then classify irregular singularities needed for the general $SU(N)$ $A$ type quiver.

Keywords

Hitchin equation irregular singularity N=2 gauge theory asymptotically free theory quiver gauge theory moduli space

Cite

@article{arxiv.1005.1350,
  title  = {Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories},
  author = {Dimitri Nanopoulos and Dan Xie},
  journal= {arXiv preprint arXiv:1005.1350},
  year   = {2010}
}

Comments

37 pages, 6 figures

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