Spin chain sigma models with fermions

The complete one-loop planar dilatation operator of N = 4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2 , 2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the SU(1|3) and SU(2|3) sectors of the complete N = 4 chai...

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Detalles Bibliográficos
Autores: Hernández Redondo, Rafael, López, Esperanza
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/52161
Acceso en línea:https://hdl.handle.net/20.500.14352/52161
Access Level:acceso abierto
Palabra clave:53
Física-Modelos matemáticos
Descripción
Sumario:The complete one-loop planar dilatation operator of N = 4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2 , 2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the SU(1|3) and SU(2|3) sectors of the complete N = 4 chain. We explicitely identify the spin chain sigma model with the one for a superstring moving in AdS 5 × S 5 with large angular momentum along the five-sphere.