SL(2,R) matrix model and supersymmetric Yang-Mills integrals

Details SL(2,R) matrix model and supersymmetric Yang-Mills integrals SL(2,R) matrix model and supersymmetric Yang-Mills integrals

2008-08-07

arxiv.org/abs/0808.1044v1

Phys.Rev.D76:107701,2007

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, two columns, REVTeX 4

Scientific paper

10.1103/PhysRevD.76.107701

The density of states of Yang-Mills integrals in the supersymmetric case is characterized by power-law tails whose decay is independent of N, the rank of the gauge group. It is believed that this has no counterpart in matrix models, but we construct a matrix model that exactly exhibits this property. In addition, we show that the eigenfunctions employed to construct the matrix model are invariant under the collinear subgroup of conformal transformations, SL(2,R). We also show that the matrix model itself is invariant under a fractional linear transformation. The wave functions of the model appear in the trigonometric Rosen-Morse potential and in free relativistic motion on AdS space.

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