Revisiting the Y=0 open spin chain at one loop
High Energy Physics - Theory
2015-05-30 v1
Abstract
In 2005, Berenstein and Vazquez determined an open spin chain Hamiltonian describing the one-loop anomalous dimensions of determinant-like operators corresponding to open strings attached to Y=0 maximal giant gravitons. We construct the transfer matrix (generating functional of conserved quantities) containing this Hamiltonian, thereby directly proving its integrability. We find the eigenvalues of this transfer matrix and the corresponding Bethe equations, which we compare with proposed all-loop Bethe equations. We note that the Bethe ansatz solution has a certain "gauge" freedom, and is not completely unique.
Keywords
Cite
@article{arxiv.1109.4366,
title = {Revisiting the Y=0 open spin chain at one loop},
author = {Rafael I. Nepomechie},
journal= {arXiv preprint arXiv:1109.4366},
year = {2015}
}
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16 pages