The su(2|3) Undynamic Spin Chain

Abstract

The integrable spin chain found in perturbative planar N=4 supersymmetric gauge theory is dynamic. Here we propose a reformulation which removes the dynamic effects in order to make the model more accessible to an algebraic treatment.

12 pages, v2: typos corrected (thanks to F. Loebbert)

References in corpus (51)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Transcendentality and Crossing
• 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
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• How Algebraic Bethe Ansatz works for integrable model
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• The su(2|3) Dynamic Spin Chain
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Stringing Spins and Spinning Strings
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Aspects of Semiclassical Strings in AdS${}_5$
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Matching Higher Conserved Charges for Strings and Spins
• Gauge/string duality for QCD conformal operators
• Operators with large R charge in N=4 Yang-Mills theory
• On stringy AdS_5 x S^5 and higher spin holography
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• On AdS_5 x S^5 String S-matrix
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• Wrapping at four loops in N=4 SYM
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Lattice fermion models with supersymmetry
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• A Generalized Scaling Function for AdS/CFT
• A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• The magnon kinematics of the AdS/CFT correspondence
• On the Integrability of large N Plane-Wave Matrix Theory
• The continuum limit of sl(N/K) integrable super spin chains
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• Yangian Symmetries of Matrix Models and Spin Chains: The Dilatation Operator of $\mathcal{N}$$=4$ SYM
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• On two fermion BMN operators
• Cooper pairs and exclusion statistics from coupled free-fermion chains
• Higher Charges in Dynamical Spin Chains for SYM Theory
• Supersymmetric Model of Spin-1/2 Fermions on a Chain

Cited by in corpus (15)

• The AdS4/CFT3 algebraic curve
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Spin chains with dynamical lattice supersymmetry
• The eight-vertex model and lattice supersymmetry
• Aspects of Non-Relativistic Quantum Field Theories
• A note on the reduction of the AdS4 x CP3 string sigma model
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Review of AdS/CFT Integrability, Chapter I.3: Long-range spin chains
• The Panorama of Spin Matrix Theory
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• On the pulsating strings in AdS_4 x CP3
• Near Flat Space limit of strings on AdS_4 x CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory