Interacting finite-size magnons

Abstract

We explicitly construct a large class of finite-volume two-magnon string solutions moving on R x S^2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breather-like solutions. After semi-classically quantizing these solutions we invert the implicit expressions for the excitation energies in certain limits and find the corrections for the multi-magnon states. For the breather-like solutions we express the energies directly in terms of the action variable whereas for the scattering solution we express the result as a combination of corrections to the dispersion relation and to the scattering phase.

45pages, 7figures, v2: simplified expressions for periods and angular momenta when elliptic modulus is greater than one, references added, typos corrected

References in corpus (20)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Wrapping at four loops in N=4 SYM
• On the Singularities of the Magnon S-matrix
• Wrapping interactions at strong coupling -- the giant magnon
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Gauge invariant finite size spectrum of the giant magnon
• The Four-Loop Dressing Phase of N=4 SYM
• Natural Dark Matter in SUSY GUTs with Non-universal Gaugino Masses
• Finite-Size Effects for Dyonic Giant Magnons
• World-sheet scattering in AdS_5 x S^5 at two loops
• Quantum Wrapped Giant Magnon
• Constructing the AdS/CFT dressing factor
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• Finite size effects for giant magnons on physical strings
• Quantum Scattering of Giant Magnons
• Wrapping Interactions and the Konishi Operator

Cited by in corpus (10)

• The S-matrix of String Bound States
• Pohlmeyer reduction revisited
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Finite-Size Effects for Multi-Magnon States
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Structure of the string R-matrix
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• N-body Dynamics of Giant Magnons in RxS2