Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups

Details Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups

2007-06-19

arxiv.org/abs/0706.2803v1

JHEP 0707:084,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1088/1126-6708/2007/07/084

The low energy spectrum of (3+1)-dimensional N=4 supersymmetric Yang-Mills theory on a spatial three-torus contains a certain number of bound states, characterized by their discrete abelian magnetic and electric 't Hooft fluxes. At weak coupling, the wave-functions of these states are supported near points in the moduli space of flat connections where the unbroken gauge group is semi-simple. The number of such states is related to the number of normalizable bound states at threshold in the supersymmetric matrix quantum mechanics with 16 supercharges based on this unbroken group. Mathematically, the determination of the spectrum relies on the classification of almost commuting triples with semi-simple centralizers. We complete the work begun in a previous paper, by computing the spectrum of bound states in theories based on the even-dimensional spin groups and the exceptional groups. The results satisfy the constraints of S-duality in a rather non-trivial way.

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