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

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Cited by in corpus (29)

• The S-matrix of String Bound States
• Pohlmeyer reduction revisited
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Giant magnons in TsT-transformed AdS_5 x S^5
• Finite Size Giant Magnon
• 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
• 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
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Finite-size effects of Membranes on AdS_4 x S_7
• 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
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• N-body Dynamics of Giant Magnons in RxS2
• Giant magnon-like solution in Sch_5 x S^5
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Dressed Elliptic String Solutions on RxS^2
• Salient Features of Dressed Elliptic String Solutions on $\mathbb{R}\times$S${}^2$
• Close to the Giant Magnons
• Giant magnons and non-maximal giant gravitons
• Revisiting the O(3) Non-linear Sigma Model and Its Pohlmeyer Reduction
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Large-Spin Expansions of Giant Magnons
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes