Wrapping interactions at strong coupling -- the giant magnon

Abstract

We derive generalized Luscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS_5xS^5 superstring these formulas encode leading wrapping interaction effects. We apply the generalized mu-term formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov and Zamaklar. The agreement involved a Borel resummation of all even loop-orders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.

35 pages, 2 figures; v2: comments and references added

References in corpus (38)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• 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
• Bethe Ansatz for Quantum Strings
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Excited states by analytic continuation of TBA equations
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
• Planar N=4 Gauge Theory and the Hubbard Model
• On the Singularities of the Magnon S-matrix
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Gauge invariant finite size spectrum of the giant magnon
• Strong coupling limit of Bethe Ansatz equations
• Exact expressions for quantum corrections to spinning strings
• On the spectrum of the Sinh-Gordon model in finite volume
• How Accurate is the Quantum String Bethe Ansatz?
• World-sheet scattering in AdS_5 x S^5 at two loops
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Strings as Multi-Particle States of Quantum Sigma-Models
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Nesting and Dressing
• On the origin of the dressing phase in N=4 Super Yang-Mills

Cited by in corpus (94)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Integrability for the Full Spectrum of Planar AdS/CFT
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The all loop AdS4/CFT3 Bethe ansatz
• Four loop twist two, BFKL, wrapping and strings
• Wrapping at four loops in N=4 SYM
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Long-Range Deformations for Integrable Spin Chains
• Five-loop Konishi from the Mirror TBA
• Complete 1-loop test of AdS/CFT
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Twist-three at five loops, Bethe Ansatz and wrapping
• Y-system and Quasi-Classical Strings
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• HHL correlators, orbit averaging and form factors
• Wronskian Solution for AdS/CFT Y-system
• Quantum Wrapped Giant Magnon
• Konishi operator at intermediate coupling
• The Bound State S-Matrix for AdS5 x S5 Superstring
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Finite size effects for giant magnons on physical strings
• Giant magnons in TsT-transformed AdS_5 x S^5
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Temperature quantization from the TBA equations
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Finite Size Giant Magnon
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Three-point Correlation functions of Giant magnons with finite size
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Four loop reciprocity of twist two operators in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Discrete Hirota dynamics for AdS/CFT
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Hybrid-NLIE for the AdS/CFT spectral problem
• Lectures on S-matrices and Integrability
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Twist operators in N=4 beta-deformed theory
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Fusion hierarchies for N = 4 superYang-Mills theory
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Aspects of Integrability in AdS/CFT Duality
• Structure of the string R-matrix
• Toy models for wrapping effects
• Leading exponential finite size corrections for non-diagonal form factors
• The Bethe Ansatz for AdS5 x S5 Bound States
• Konishi at strong coupling from ABE
• Wrapping Interactions and the Konishi Operator
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Quasi-local formulation of the mirror TBA
• Scattering of Giant Magnons in CP^3
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Close to the Giant Magnons
• Semiclassical SL(2) Strings on LLM backgrounds
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Integrable systems and AdS/CFT duality
• Wrapping effects in supersymmetric gauge theories
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• Exact Results in Supersymmetric Gauge Theories
• Yangian Symmetry, S-Matrices and Bethe Ansatz for the AdS5 x S5 Superstring
• On finite size corrections to the dispersion relations of giant magnon and single spike on γ-deformed T^{1,1}
• 12 loops and triple wrapping in ABJM theory from integrability
• Large-Spin Expansions of Giant Magnons
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• P-Branes Dynamics, AdS/CFT and Correlation Functions