Systematics of quarter BPS operators in Script N = 4 SYM

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Published 1 May 2003 Published under licence by IOP Publishing Ltd
, , Citation Eric D'Hoker et al JHEP04(2003)038 DOI 10.1088/1126-6708/2003/04/038

1126-6708/2003/04/038

Abstract

A systematic construction is presented of 1/4 BPS operators in Script 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 g2, that these 1/4 BPS operators have protected dimensions.

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10.1088/1126-6708/2003/04/038