{ "id": "hep-th/9910011", "version": "v1", "published": "1999-10-01T16:50:03.000Z", "updated": "1999-10-01T16:50:03.000Z", "title": "Explicit construction of nilpotent covariants in N=4 SYM", "authors": [ "P. S. Howe", "C. Schubert", "E. Sokatchev", "P. C. West" ], "comment": "20 pages, standard latex", "journal": "Nucl.Phys. B571 (2000) 71-90", "doi": "10.1016/S0550-3213(99)00768-3", "categories": [ "hep-th" ], "abstract": "Some aspects of correlation functions in N=4 SYM are discussed. Using N=4 harmonic superspace we study two and three-point correlation functions which are of contact type and argue that these contact terms will not affect the non-renormalisation theorem for such correlators at non-coincident points. We then present a perturbative calculation of a five-point function at two loops in N=2 harmonic superspace and verify that it reproduces the derivative of the previously found four-point function with respect to the coupling. The calculation of this four-point function via the five-point function turns out to be significantly simpler than the original direct calculation. This calculation also provides an explicit construction of an N=2 component of an N=4 five-point nilpotent covariant that violates U(1)_Y symmetry.", "revisions": [ { "version": "v1", "updated": "1999-10-01T16:50:03.000Z" } ], "analyses": { "keywords": [ "explicit construction", "harmonic superspace", "four-point function", "three-point correlation functions", "five-point function turns" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "inspire": 508027 } } }