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.

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

References in corpus (2)

• Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models
• Energy spectrum and wave-functions of four-dimensional Supersymmetric Yang-Mills Quantum Mechanics for very high cut-offs

Cited by in corpus (3)

• The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics
• Supersymmetry and Lie groups
• Solving some gauge systems at infinite N