Summing Up Instantons in Three-Dimensional Yang-Mills Theories

Details Summing Up Instantons in Three-Dimensional Yang-Mills Theories Summing Up Instantons in Three-Dimensional Yang-Mills Theories

1998-08-19

arxiv.org/abs/hep-th/9808119v2

Adv.Theor.Math.Phys. 3 (1999) 343-361

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac; a comment added

Scientific paper

We show that the four derivative terms in the effective action of three-dimensional N=8 Yang-Mills theory are determined by supersymmetry. These terms receive both perturbative and non-perturbative corrections. Using our technique for constraining the effective action, we are able to determine the exact form of the eight fermion terms in the supersymmetric completion of the $F^4$ term, including all instanton corrections. As a consequence, we argue that the integral of the Euler density over $k$ monopole moduli space in SU(2) Yang-Mills is determined by our non-renormalization theorem for all values of $k$.

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