Systematics of Quarter BPS operators in N=4 SYM
Abstract
A systematic construction is presented of 1/4 BPS operators in N=4 superconformal Yang-Mills theory, using either analytic superspace methods or components. In the construction, the operators of the classical theory annihilated by 4 out of 16 supercharges are arranged into two types. The first type consists of those operators that contain 1/4 BPS operators in the full quantum theory. The second type consists of descendants of operators in long unprotected multiplets which develop anomalous dimensions in the quantum theory. The 1/4 BPS operators of the quantum theory are defined to be orthogonal to all the descendant operators with the same classical quantum numbers. It is shown, to order , that these 1/4 BPS operators have protected dimensions.
Keywords
Cite
@article{arxiv.hep-th/0301104,
title = {Systematics of Quarter BPS operators in N=4 SYM},
author = {E. D'Hoker and P. Heslop and P. Howe and A. V. Ryzhov},
journal= {arXiv preprint arXiv:hep-th/0301104},
year = {2009}
}
Comments
27 pages. Minor changes to text and references