Abstract:
Methods are reviewed for computing the instanton expansion of the prepotential for N=2 Seiberg-Witten theory with non-hyperelliptic curves. These results, when compared with the instanton expansion obtained from the microscopic Lagrangian, provide detailed tests of M-theory. Group theoretic regularities of F_ 1-inst allow one to "reverse engineer" a Seiberg-Witten curve for SU(N) with two antisymmetric representations and N_f \leq 3 fundamental hypermultiplet representations, a result not yet available by other methods. Consistency with M-theory requires a curve of infinite order.
  • talk: Montreal 2000/03/22
  • gauge field theory: SU(N)
  • supersymmetry
  • Seiberg-Witten model
  • M-theory
  • Riemann surface
  • perturbation theory: higher-order