Saddle point approximations in Seiberg-Witten theory

by Serezha Shadchin (IHES)

Tuesday 23 Nov 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

The Nekrasov approach to N=2 super Yang-Mills theory is used to compute the (up to two derivatives and four fermions) low-energy effective action for all classical gauge groups: SU(N), SO(N) and Sp(N) and (almost) all matter multiplets allowed by asymptotic freedom. The prepotential for the effective action is given as a series on the dynamically generated scale. The 1-instanton corrections match results obtained previously by the M-theory arguments. A method to extract Seiberg-Witten curves is presented. It is shown that the method is consistent (at least, on the 1-instanton level): the first non-perturbative correction obtained as "formal series -> Seiberg-Witten curve -> 1-instanton correction" coincides with the direct expression for all considered models.