The SU(2|3) spin chain sigma model

✍ Scribed by R. Hernández; E. López

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 111 KB
• Volume: 53
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200510211

✦ Synopsis

Abstract

The one‐loop planar dilatation operator of 𝒩 = 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 𝒩 = 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.