The Matrix Product Ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds

AUTOR(ES)

Lazo, Matheus Jatkoske

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2008-06

RESUMO

We obtain through a Matrix Product Ansatz (MPA) the exact solution of the most general N-state spin chain with U(1)N symmetry and nearest neighbour interaction. In the case N = 6 this model contain as a special case the integrable SO(6) spin chain related to the one loop mixing matrix for anomalous dimensions in N = 4 SYM, dual to type IIB string theory in the generalised Lunin-Maldacena backgrounds. This MPA is construct by a map between scalar fields and abstract operators that satisfy an appropriate associative algebra. We analyses the Yang-Baxter equation in the N = 3 sector and the consistence of the algebraic relations among the matrices defining the MPA and find a new class of exactly integrable model unknown up to now.

Documentos Relacionados

• Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
• The exact solution of the asymmetric exclusion problem with particles of asrbitrary size: matrix product ansatz
• Dispersionless limit of integrable models
• Solutions to the recurrence relation u n+1 = v n+1 + u n ⊗ v n in terms of Bell polynomials
• Solutions to the recurrence relation u n+1 = v n+1 + u n ⊗ v n in terms of Bell polynomials