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 (7)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• On the Singularities of the Magnon S-matrix
• Strong coupling limit of Bethe Ansatz equations
• Gauge invariant finite size spectrum of the giant magnon
• World-sheet scattering in AdS_5 x S^5 at two loops
• Nesting and Dressing
• On the origin of the dressing phase in N=4 Super Yang-Mills

Cited by in corpus (27)

• 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
• Wrapping at four loops in N=4 SYM
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Complete 1-loop test of AdS/CFT
• Twist-three at five loops, Bethe Ansatz and wrapping
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Four loop reciprocity of twist two operators in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
• Discrete Hirota dynamics for AdS/CFT
• Fusion hierarchies for N = 4 superYang-Mills theory
• Aspects of Integrability in AdS/CFT Duality
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Structure of the string R-matrix
• The Bethe Ansatz for AdS5 x S5 Bound States
• Wrapping Interactions and the Konishi Operator
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Yangian Symmetry, S-Matrices and Bethe Ansatz for the AdS5 x S5 Superstring