ABJM Wilson loops in the Fermi gas approach

摘要: The matrix model of the ABJM theory can be formulated in terms an ideal Fermi gas with a non-trivial one-particle Hamiltonian. We show that, this formalism, vacuum expectation values (vevs) Wilson loops correspond to averages operators statistical-mechanical problem. This makes it possible calculate these vevs at all orders 1/N, up exponentially small corrections, and for arbitrary Chern–Simons coupling, by using WKB expansion. present explicit results 1/6 1/2 BPS loops, any winding number, Airy functions. Our expressions are shown reproduce low genus obtained previously 't Hooft