TY - JOUR
T1 - Revisiting the Y = 0 open spin chain at one loop
AU - Nepomechie, Rafael I.
N1 - Funding Information:
I am grateful to Antonio Lima-Santos for valuable correspondence at an early stage of this project. This work was supported in part by the National Science Foundation under Grant PHY-0854366.
Publisher Copyright:
© SISSA 2011.
PY - 2011
Y1 - 2011
N2 - 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 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.
AB - 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 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.
KW - AdS-CFT correspondence
KW - Bethe ansatz
KW - Boundary quantum field theory
KW - Lattice integrable models
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U2 - 10.1007/JHEP11(2011)069
DO - 10.1007/JHEP11(2011)069
M3 - Article
AN - SCOPUS:84865789781
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 11
M1 - 69
ER -