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

  title={Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics},
  author={Maciej Trzetrzelewski},
  • Maciej Trzetrzelewski
  • Published 2006
We analyze the N → ∞ 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 Tr(aa) that play a crucial role when the hamiltonian is free. PACS: 11.10.Kk, 04.60.Kz 
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