Fusion hierarchies for N = 4 superYang-Mills theory
High Energy Physics - Theory
2008-11-26 v2
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.
Cite
@article{arxiv.0803.2035,
title = {Fusion hierarchies for N = 4 superYang-Mills theory},
author = {A. V. Belitsky},
journal= {arXiv preprint arXiv:0803.2035},
year = {2008}
}
Comments
24 pages, 2 figures