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

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

2008-12-26

arxiv.org/abs/0812.4693v1

Physics

High Energy Physics

High Energy Physics - Theory

Based on a Brown University undergraduate thesis, 12 pages

Scientific paper

10.1016/j.physletb.2009.01.044

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.

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