Manifestly N = 2 supersymmetric Feynman rules are found for different off-shell realizations of the massless hypermultiplet in projective superspace. When we reduce the Feynman rules to an N = 1 superspace we obtain the correct component propagators. The Feynman rules are shown to be compatible with a "duality" that acts only on the auxiliary fields, as well as with the usual duality relating the hypermultiplet to the tensor multiplet. 1

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 × 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.1

No abstract