Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics

Details Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics

2006-08-21

arxiv.org/abs/hep-th/0608147v3

J.Math.Phys.48:012302,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures, v2:Minor changes on on page 13 and in Appendix D

Scientific paper

10.1063/1.2408399

We analyze the $N \to \infty $ limit of supersymmetric Yang-Mills quantum mechanics (SYMQM) in two spacetime dimensions. To do so we introduce a particular class of SU(N) invariant polynomials and give the solutions of 2D SYMQM in terms of them. We conclude that in this limit the system is not fully described by the single trace operators $Tr({a^{\dagger}}^n)$ since there are other, bilinear operators $Tr^n(a^{\dagger}a^{\dagger})$ that play a crucial role when the hamiltonian is free.

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