TY - JOUR
T1 - Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds
AU - Freyhult, L.
AU - Kristjansen, C.
AU - Mansson, T.
N1 - 16 pages, 3 figures, references corrected
PY - 2005/10/26
Y1 - 2005/10/26
N2 - We consider the most general three-state spin chain with U(1)^3 symmetry and nearest neighbour interaction. Our model contains as a special case the spin chain describing the holomorphic three scalar sector of the three parameter complex deformation of N=4 SYM, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds discovered by Frolov. We formulate the coordinate space Bethe ansatz, calculate the S-matrix and determine for which choices of parameters the S-matrix fulfills the Yang-Baxter equations. For these choices of parameters we furthermore write down the R-matrix. We find in total four classes of integrable models. In particular, each already known model of the above type is nothing but one in a family of such models.
AB - We consider the most general three-state spin chain with U(1)^3 symmetry and nearest neighbour interaction. Our model contains as a special case the spin chain describing the holomorphic three scalar sector of the three parameter complex deformation of N=4 SYM, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds discovered by Frolov. We formulate the coordinate space Bethe ansatz, calculate the S-matrix and determine for which choices of parameters the S-matrix fulfills the Yang-Baxter equations. For these choices of parameters we furthermore write down the R-matrix. We find in total four classes of integrable models. In particular, each already known model of the above type is nothing but one in a family of such models.
KW - hep-th
U2 - 10.1088/1126-6708/2005/12/008
DO - 10.1088/1126-6708/2005/12/008
M3 - Journal article
SN - 1126-6708
VL - 2005
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
IS - 12
ER -