### 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 language | English (US) |
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Pages (from-to) | 171-193 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 803 |

Issue number | 1-2 |

DOIs | |

State | Published - Nov 1 2008 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*803*(1-2), 171-193. https://doi.org/10.1016/j.nuclphysb.2008.06.001

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

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 803, no. 1-2, pp. 171-193. https://doi.org/10.1016/j.nuclphysb.2008.06.001

}

TY - JOUR

T1 - Fusion hierarchies for N = 4 super-Yang-Mills theory

AU - Belitsky, Andrei

PY - 2008/11/1

Y1 - 2008/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=47849098032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=47849098032&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2008.06.001

DO - 10.1016/j.nuclphysb.2008.06.001

M3 - Article

AN - SCOPUS:47849098032

VL - 803

SP - 171

EP - 193

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -