On Non-renormalization and OPE in Superconformal Field Theories
High Energy Physics - Theory
2009-11-07 v2
Abstract
The OPE of two N=2 R-symmetry current (short) multiplets is determined by the possible superspace three-point functions that two such multiplets can form with a third, a priori long multiplet. We show that the shortness conditions on the former put strong restrictions on the quantum numbers of the latter. In particular, no anomalous dimension is allowed unless the third supermultiplet is an R-symmetry singlet. This phenomenon should explain many known non-renormalization properties of correlation functions, including the one of four stress-tensor multiplets in N=4 SYM_4.
Keywords
Cite
@article{arxiv.hep-th/0105254,
title = {On Non-renormalization and OPE in Superconformal Field Theories},
author = {G. Arutyunov and B. Eden and E. Sokatchev},
journal= {arXiv preprint arXiv:hep-th/0105254},
year = {2009}
}
Comments
minor corrections, references changed