Supersymmetry and the Yang-Mills effective action at finite N

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Published 11 August 1999 Published under licence by IOP Publishing Ltd
, , Citation Savdeep Sethi and Mark Stern JHEP06(1999)004 DOI 10.1088/1126-6708/1999/06/004

1126-6708/1999/06/004

Abstract

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 v4 terms be one-loop exact. We also show that the twelve fermion terms in the supersymmetric completion of the v6 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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10.1088/1126-6708/1999/06/004