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Three‐loop test of the dilatation operator and integrability in 𝒩 = 4 SYM
Author(s) -
Eden B.,
Jarczak C.,
Sokatchev E.
Publication year - 2005
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200510227
Subject(s) - operator (biology) , dimension (graph theory) , scaling , loop (graph theory) , mathematics , mathematical physics , shift operator , pure mathematics , mathematical analysis , physics , compact operator , combinatorics , computer science , chemistry , geometry , biochemistry , repressor , transcription factor , extension (predicate logic) , gene , programming language
We report on a three‐loop calculation of the anomalous dimension of the Konishi operator and of the BMN operator of dimension three. Our results confirm the unique form of the = 4 SYM dilatation operator compatible with BMN scaling.