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arXiv · 1007.5284

Shaping up BPS States with Matrix Model Saddle Points

Diego H. Correa·Martin Wolf
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Abstract

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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Diego H. Correa, Martin Wolf. 2010-07-29. Shaping up BPS States with Matrix Model Saddle Points. https://doi.org/10.1088/1751-8113/43/46/465402

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