The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
arXiv:hep-th/0605028
Abstract
We explore the relationship between the SU(2) sector of a general integrable field theory and the all-loop guess for the anomalous dimensions of SU(2) operators in N=4 super Yang-Mills theory. We demonstrate that the SU(2) structure of a nested Bethe ansatz alone reproduces much of the all-loop guess without depending on the details of the particular field theory. We speculate on the implications of this for strings in AdS_5 X S^5 being described by the multi-particle states of an integrable worldsheet theory, and relate the techniques here to the known relationship between the Hubbard model and the all-loop guess.
16 pages, v2: references added
References in corpus (22)
- The Bethe-Ansatz for N=4 Super Yang-Mills
- Hidden Symmetries of the AdS_5 x S^5 Superstring
- The N=4 SYM Integrable Super Spin Chain
- The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
- Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
- Bethe Ansatz for Quantum Strings
- Multi-spin string solutions in AdS_5 x S^5
- The su(2|3) Dynamic Spin Chain
- Stringing Spins and Spinning Strings
- Wrapping interactions and a new source of corrections to the spin-chain/string duality
- The Algebraic Curve of Classical Superstrings on AdS_5xS^5
- Quantum corrections to the string Bethe ansatz
- On AdS_5 x S^5 String S-matrix
- Planar N=4 Gauge Theory and the Hubbard Model
- The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
- The Algebraic Curve of 1-loop Planar N=4 SYM
- A Universality Test of the Quantum String Bethe Ansatz
- Bethe Ansatz for a Quantum Supercoset Sigma Model
- Bethe Ansatz in Stringy Sigma Models
- Strings as Multi-Particle States of Quantum Sigma-Models
- Slow-string limit and "antiferromagnetic" state in AdS/CFT
- Finite Density States in Integrable Conformal Field Theories