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

Source abstract

We analyze the N→∞ limit of supersymmetric Yang-Mills quantum mechanics (SYMQM) in two space time dimensions. To do so we introduce a particular class of SU(N) invariant polynomials and give the solutions of two-dimensional 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 Trn(a†a†) that play a crucial role when the Hamiltonian is free.