Quantum Wrapped Giant Magnon

Abstract

Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the fundamental excitation of the light-cone gauged string in AdS(5) x S(5), which is the giant magnon solution. We present two independent ways to obtain this correction: the first approach makes use of the algebraic curve description of the giant magnon. The second relies on the purely field-theoretical Luscher formulas, which depend on the world-sheet S-matrix. We demonstrate the agreement to all orders in g/Delta of these approaches, which in particular presents a further test of the S-matrix. We comment on generalizations of this method of computation to other string configurations.

17 pages, 2 figures

References in corpus (21)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• Magnon Bound States and the AdS/CFT Correspondence
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Wrapping interactions at strong coupling -- the giant magnon
• Infinite spin limit of semiclassical string states
• Complete 1-loop test of AdS/CFT
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Gauge invariant finite size spectrum of the giant magnon
• Exact expressions for quantum corrections to spinning strings
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Finite-Size Effects for Dyonic Giant Magnons
• Constructing the AdS/CFT dressing factor
• Strings as Multi-Particle States of Quantum Sigma-Models
• Finite size effects for giant magnons on physical strings
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Quantum Scattering of Giant Magnons
• Semiclassical Quantization of the Giant Magnon

Cited by in corpus (17)

• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The AdS4/CFT3 algebraic curve
• The S-matrix of String Bound States
• Finite-Size Effects for Dyonic Giant Magnons
• Comment on the Scaling Function in AdS4 x CP3
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Discrete Hirota dynamics for AdS/CFT
• Finite size corrections for open strings/open chains in planar AdS/CFT
• 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
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux