Supersymmetry and the Yang-Mills Effective Action at Finite N

Details Supersymmetry and the Yang-Mills Effective Action at Finite N Supersymmetry and the Yang-Mills Effective Action at Finite N

1999-03-04

arxiv.org/abs/hep-th/9903049v2

JHEP 9906:004,1999

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac; a reference added

Scientific paper

10.1088/1126-6708/1999/06/004

We study the effective action of quantum mechanical SU(N) Yang-Mills theories with sixteen supersymmetries and N>2. We show that supersymmetry requires that the eight fermion terms in the supersymmetric completion of the $v^4$ terms be one-loop exact. We also show that the twelve fermion terms in the supersymmetric completion of the $v^6$ terms are two-loop exact for N=3. For N>3, this no longer seems to be true; we are able to find non-renormalization theorems for only certain twelve fermion structures. We call these structures `generalized F-terms.' We argue that as the rank of the gauge group is increased, there can be more generalized F-terms at higher orders in the derivative expansion.

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