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arXiv · hep-th/9903049

Supersymmetry and the Yang-Mills Effective Action at Finite N

Savdeep Sethi·Mark Stern
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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 $v^4$ 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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Savdeep Sethi, Mark Stern. 1999-03-15. Supersymmetry and the Yang-Mills Effective Action at Finite N. https://doi.org/10.1088/1126-6708%2F1999%2F06%2F004

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