Spin chain for quantum strings

✍ Scribed by N. Beisert

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 173 KB
• Volume: 53
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200410207

✦ Synopsis

Abstract

We review and compare the integrable structures in 𝒩 = 4 gauge theory and string theory on AdS~5~× S^5^. Recently, Bethe ansätze for gauge theory/weak coupling and string theory/strong coupling were proposed to describe scaling dimensions in the 𝔰𝔲(2) subsector. Here we investigate the Bethe equations for quantum string theory, naively extrapolated to weak coupling. Excitingly, we find a spin chain Hamiltonian similar, but not equal, to the gauge theory dilatation operator.