Revisiting the Y=0 open spin chain at one loop

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.

16 pages

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Cited by in corpus (7)

• Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
• Y-system for Y=0 brane in planar AdS/CFT
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Integrable Open Spin Chains from Flavored ABJM Theory
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton