Revisiting the Y=0 open spin chain at one loop

Details Revisiting the Y=0 open spin chain at one loop Revisiting the Y=0 open spin chain at one loop

2011-09-20

arxiv.org/abs/1109.4366v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

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.

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