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

被引:11
作者
Belitsky, A. V. [1 ]
机构
[1] Arizona State Univ, Dept Phys, Tempe, AZ 85287 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/j.nuclphysb.2008.06.001
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 super-symmetric 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. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:171 / 193
页数:23
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