The Matrix Product Ansatz for Integrable U(1)(Sup N) Models in Lunin-Maldacena Backgrounds



Título del documento: The Matrix Product Ansatz for Integrable U(1)(Sup N) Models in Lunin-Maldacena Backgrounds
Revue: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000398863
ISSN: 0103-9733
Autores: 1
Instituciones: 1Universidade Federal de Santa Maria, Centro Tecnologico de Alegrete, Alegrete, Rio Grande do Sul. Brasil
Año:
Periodo: Jun
Volumen: 38
Número: 2
Paginación: 237-244
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: Física de partículas y campos cuánticos,
Termodinámica y física estadística,
Mecánica cuántica,
Física estadística,
Espín,
Correspondencia AdS/CFT
Keyword: Physics and astronomy,
Particle physics and quantum fields,
Thermodynamics and statistical physics,
Quantum mechanics,
Statistical physics,
Spin,
AdS/CFT correspondence
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