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 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics