Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds

L. Freyhult; C. Kristjansen; T. Mansson

doi:10.1088/1126-6708/2005/12/008

Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds

L. Freyhult, C. Kristjansen, T. Mansson

Theoretical high energy, astroparticle and gravitational physics

14 Citations (Scopus)

Abstract

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.

Original language	English
Journal	Journal of High Energy Physics
Volume	2005
Issue number	12
ISSN	1126-6708
DOIs	https://doi.org/10.1088/1126-6708/2005/12/008
Publication status	Published - 26 Oct 2005

Keywords

hep-th

Access to Document

10.1088/1126-6708/2005/12/008

Cite this

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title = "Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds",

abstract = "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.",

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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

JF - Journal of High Energy Physics

IS - 12

ER -