Three‐loop test of the dilatation operator and integrability in 𝒩 = 4 SYM | Zendy

Eden B. | Zendy; Jarczak C. | Zendy; Sokatchev E. | Zendy

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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.

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