Some systematics of the coupling constant dependence of N = 4 Yang-Mills

doi:10.1088/1126-6708/2004/09/045

Some systematics of the coupling constant dependence of N = 4 Yang-Mills

Anirban Basu et al JHEP09(2004)045 doi: 10.1088/1126-6708/2004/09/045

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Anirban Basu¹, Michael B. Green² and Savdeep Sethi¹
¹ Enrico Fermi Institute, University of Chicago, Chicago, IL 60637, U.S.A.
² Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA, U.K.
E-mail: basu@theory.uchicago.edu

Abstract. The operator, Script O _τ, that generates infinitesimal changes of the coupling constant in N = 4 Yang-Mills sits in the same supermultiplet as the superconformal currents. We show how superconformal current Ward identities determine a class of terms in the operator product expansion of _τ with any other operator. In certain cases, this leads to constraints on the coupling dependence of correlation functions in N = 4 Yang-Mills. As an application, we demonstrate the exact non-renormalization of two and certain three-point correlation functions of BPS operators.

Key words: Space-Time Symmetries; Extended Supersymmetry

E-print number: hep-th/0406231
Cited: by
Refers: to

Received 10 August 2004, accepted for publication 20 September 2004
Published 18 October 2004

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Some systematics of the coupling constant dependence of N = 4 Yang-Mills

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