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

dc.creatorTierz, Miguel
dc.date2008-08-07
dc.date.accessioned2026-07-07T11:56:21Z
dc.date.available2026-07-07T11:56:21Z
dc.descriptionThe 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.
dc.description4 pages, two columns, REVTeX 4
dc.identifierhttps://arxiv.org/abs/0808.1044
dc.identifierhttp://arxiv.org/abs/0808.1044
dc.identifierPhys.Rev.D76:107701,2007
dc.identifierdoi:10.1103/PhysRevD.76.107701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205555
dc.subjectHigh Energy Physics - Theory
dc.titleSL(2,R) matrix model and supersymmetric Yang-Mills integrals
dc.typetext

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