Self-Dual Effective Action of N=4 Super-Yang Mills
F. Gonzalez-Rey, B. Kulik, I. Y. Park, M. Rocek
Abstract
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 IIB D3-branes in the AdS5 × S5 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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