Low-energy next-to-leading contributions to the effective action in ${\cal N}=4$ SYM theory

Details Low-energy next-to-leading contributions to the effective action in ${\cal N}=4$ SYM theory Low-energy next-to-leading contributions to the effective action in ${\cal N}=4$ SYM theory

2004-01-05

arxiv.org/abs/hep-th/0401007v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 6 pages, Talk given by at the International Workshop ``Supersymmetries and Quantum Symmetries'' (SQS 03), BLTP, JINR, D

Scientific paper

Using formulation of ${\cal N}=4$ SYM theory in terms of ${\cal N}=1$ superfields superfields we construct the derivative expansion of the one-loop ${\cal N}=4$ SYM effective action in background fields corresponding to constant Abelian strength $F_{mn}$ and constant hypermultiplet. Any term of the effective action derivative expansion can be rewritten in terms of ${\cal N}=2$ superfields. The action is manifestly ${\cal N}=2$ supersymmetric but on-shell hidden ${\cal N}=2$ supersymmetry is violated. We propose a procedure which allows to restore the hidden ${\cal N}=2$ invariance.

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