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

Abstract

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 $Tr({a^{†}}^n)$ since there are other, bilinear operators $T{r}^n(a^{†}{a}^{†})$ that play a crucial role when the hamiltonian is free.

arXiv comment24 pages, 3 figures, v2:Minor changes on on page 13 and in Appendix D

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• Optimized Fock space in the large N limit of quartic interactions in Matrix Models
• The hamiltonian study of supersymmetric Yang-Mills quantum mechanics