Fusion hierarchies for N = 4 super-Yang-Mills theory

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We employ the analytic Bethe Anzats to construct eigenvalues of transfer matrices with finite-dimensional atypical representations in the auxiliary space for the putative long-range spin chain encoding anomalous dimensions of all composite single-trace gauge invariant operators of the maximally supersymmetric Yang-Mills theory. They obey an infinite fusion hierarchy which can be reduced to a finite set of integral relations for a minimal set of transfer matrices. This set is used to derive a finite systems of functional equations for eigenvalues of nested Baxter polynomials.

Original languageEnglish (US)
Pages (from-to)171-193
Number of pages23
JournalNuclear Physics B
Volume803
Issue number1-2
DOIs
StatePublished - Nov 1 2008

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Yang-Mills theory
hierarchies
eigenvalues
fusion
polynomials
coding
operators
composite materials

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Fusion hierarchies for N = 4 super-Yang-Mills theory. / Belitsky, Andrei.

In: Nuclear Physics B, Vol. 803, No. 1-2, 01.11.2008, p. 171-193.

Research output: Contribution to journalArticle

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