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The SU (2|3) spin chain sigma model
Author(s) -
Hernández R.,
López E.
Publication year - 2005
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200510211
Subject(s) - superstring theory , sigma , sigma model , integrable system , physics , mathematical physics , hamiltonian (control theory) , angular momentum , spin (aerodynamics) , chain (unit) , planar , supersymmetry , theoretical physics , quantum mechanics , mathematics , computer science , mathematical optimization , computer graphics (images) , nonlinear system , thermodynamics
Abstract The one‐loop planar dilatation operator of = 4 supersymmetric Yang‐Mills is isomorphic to the hamiltonian of an integrable PSU (2,2|4) spin chain. We construct the non‐linear sigma model describing the continuum limit of the SU (2|3) subsector of the = 4 chain. We explicitly 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.