Self-Dual Effective Action of N=4 Super-Yang Mills

Details Self-Dual Effective Action of N=4 Super-Yang Mills Self-Dual Effective Action of N=4 Super-Yang Mills

1998-10-20

arxiv.org/abs/hep-th/9810152v3

Nucl.Phys. B544 (1999) 218-242

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 22 pages, references added, minor changes, to appear in NPB

Scientific paper

10.1016/S0550-3213(99)00046-2

The full low energy effective action of N=4 SYM is believed to be self-dual. Starting with the first two leading terms in a momentum expansion of this effective action, we perform a duality transformation and find the conditions for self-duality. These determine some of the higher order terms. We compare the effective action of N=4 SYM with the probe-source description of type II_B D3-branes in the AdS_5 \times S_5 background. We find agreement up to six derivative terms if we identify the separation of the 3-branes with a redefinition of the gauge scalar that involves the gauge field strength.

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