Spin Chain for Quantum Strings

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.

10 pages, Contribution to RTN and EXT Workshop, Kolymbari, Crete, Greece, 5-10 September 2004, v2: numerical comparision with spinning strings added, coefficient of H4 in Tab. 3 corrected

References in corpus (6)

• Bethe Ansatz for Quantum Strings
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• A three-loop test of the dilatation operator in N=4 SYM
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions

Cited by in corpus (26)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• On AdS_5 x S^5 String S-matrix
• Planar N=4 Gauge Theory and the Hubbard Model
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Long-Range Deformations for Integrable Spin Chains
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• The Four-Loop Dressing Phase of N=4 SYM
• N=4 Superconformal Characters and Partition Functions
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Wound and Rotating Strings in AdS_5 x S^5
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors