Finite size effects for giant magnons on physical strings

Abstract

Using finite gap methods, we find the leading order finite size corrections for an arbitrary number of giant magnons on physical strings, where the sum of the momenta is a multiple of 2π. Our results are valid for the Hofman-Maldacena fundamental giant magnons as well as their dyonic generalizations. The energy corrections turn out to be surprisingly simple, especially if all the magnons are fundamental, and at leading order are independent of the magnon flavors. We also show how to use the Bethe ansatz to find finite size corrections for dyonic giant magnons with large R-charges.

24 pages, 7 figures; v2 typos fixed

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• Quantum corrections to the string Bethe ansatz
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• Dressing and Wrapping
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• Spiky strings and single trace operators in gauge theories
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• Dyonic Giant Magnons
• Wrapping interactions at strong coupling -- the giant magnon
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• Infinite spin limit of semiclassical string states
• Gauge invariant finite size spectrum of the giant magnon
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Cited by in corpus (47)

• 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
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Five-loop Konishi from the Mirror TBA
• Superdiffusion from emergent classical solitons in quantum spin chains
• Long-Range Deformations for Integrable Spin Chains
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Exploring the mirror TBA
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Konishi operator at intermediate coupling
• The Bound State S-Matrix for AdS5 x S5 Superstring
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Giant magnons in TsT-transformed AdS_5 x S^5
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Finite Size Giant Magnon
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Finite-Size Effects for Multi-Magnon States
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Interacting finite-size magnons
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Finite-size effects of Membranes on AdS_4 x S_7
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Structure of the string R-matrix
• Toy models for wrapping effects
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Large-Spin Expansions of GKP Strings
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Close to the Giant Magnons
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Wrapping effects in supersymmetric gauge theories
• Large-Spin Expansions of Giant Magnons
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes