Journal of High Energy Physics

, 2011:69 | Cite as

Revisiting the Y = 0 open spin chain at one loop

  • Rafael I. Nepomechie


In 2005, Berenstein and Vázquez 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 ma- trix (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 com- pletely unique.


Lattice Integrable Models Bethe Ansatz AdS-CFT Correspondence Boundary Quantum Field Theory 


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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  1. 1.Physics DepartmentUniversity of MiamiCoral GablesUSA

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