TL;DR
This paper reviews integrable structures in N=4 gauge and string theories, compares Bethe ansatz approaches at different couplings, and explores a spin chain Hamiltonian related to quantum string theory.
Contribution
It introduces a Bethe ansatz for quantum string theory extrapolated to weak coupling, revealing a spin chain Hamiltonian similar to gauge theory.
Findings
Identifies a spin chain Hamiltonian close to the gauge theory dilatation operator.
Compares integrable structures in gauge and string theories.
Proposes a connection between weak coupling string Bethe equations and spin chains.
Abstract
We review and compare the integrable structures in N=4 gauge theory and string theory on AdS5xS5. Recently, Bethe ansaetze 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.
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