English

Quite a Character: The Spectrum of Yang-Mills on S^3

High Energy Physics - Theory 2009-11-13 v1

Abstract

We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with SO(2,4) symmetry, such as conformal field theories in four dimensions. As a specific application we obtain an explicit generating function for the representation content of free planar Yang-Mills theory on S^3. The extension to N = 4 super Yang-Mills is also discussed.

Keywords

Cite

@article{arxiv.0812.4693,
  title  = {Quite a Character: The Spectrum of Yang-Mills on S^3},
  author = {Taylor H. Newton and Marcus Spradlin},
  journal= {arXiv preprint arXiv:0812.4693},
  year   = {2009}
}

Comments

Based on a Brown University undergraduate thesis, 12 pages