Tailoring three-point functions and integrability IV. Θ-morphism

Nikolay Gromov, Pedro Vieira

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)
64 Downloads (Pure)

Abstract

We compute structure constants in N= 4 SYM at one loop using Integrability. This requires having full control over the two loop eigenvectors of the dilatation operator for operators of arbitrary size. To achieve this, we develop an algebraic description called the Θ-morphism. In this approach we introduce impurities at each spin chain site, act with particular differential operators on the standard algebraic Bethe ansatz vectors and generate in this way higher loop eigenvectors. The final results for the structure constants take a surprisingly simple form, recently reported by us in the short note arXiv:1202.4103. These are based on the tree level and one loop patterns together and also on some higher loop experiments involving simple operators.

Original languageEnglish
Article number068
Pages (from-to)1-40
JournalJournal of High Energy Physics
Volume2014
Issue number4
Early online date9 Apr 2014
DOIs
Publication statusPublished - Apr 2014

Keywords

  • 1/N Expansion
  • AdS-CFT Correspondence
  • Supersymmetric gauge theory

Fingerprint

Dive into the research topics of 'Tailoring three-point functions and integrability IV. Θ-morphism'. Together they form a unique fingerprint.

Cite this