Shaping up BPS States with Matrix Model Saddle Points

Details Shaping up BPS States with Matrix Model Saddle Points Shaping up BPS States with Matrix Model Saddle Points

2010-07-29

arxiv.org/abs/1007.5284v2

J.Phys.A43:465402,2010

Physics

High Energy Physics

High Energy Physics - Theory

23 pages; v2 added reference

Scientific paper

10.1088/1751-8113/43/46/465402

We provide analytical results for the probability distribution of a family of wavefunctions of a quantum mechanics model of commuting matrices in the large-N limit. These wavefunctions describe the strong coupling limit of 1/8 BPS states of N=4 supersymmetric Yang-Mills theory. Therefore, in the large-N limit, they should be dual to classical solutions of type IIB supergravity that asymptotically approach AdS5xS5. Each probability distribution can be described as the partition function of a matrix model (different wavefunctions correspond to different matrix model potentials) which we study by means of a saddle point approximation. These saddle point solutions are given in terms of (five-dimensional) hypersurfaces supporting density distributions of eigenvalues.

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