Finite-Size Effects for Dyonic Giant Magnons

Abstract

We compute finite-size corrections to dyonic giant magnons in two ways. One is by examining the asymptotic behavior of helical strings of hep-th/0609026 as elliptic modulus k goes to unity, and the other is by applying the generalized Luscher formula for mu-term of arXiv:0708.2208 to the situation in which incoming particles are boundstates. By careful choice of poles in the su(2|2)^2-invariant S-matrix, we find agreement of the two results, which makes possible to predict the (leading) finite-size correction for dyonic giant magnons to all orders in the 't Hooft coupling.

1+45 pages, 10 figures, v2: references added, discussion in section 3.2 corrected, v3: references added, minor corrections, v4: published version, v5: Revised subsection 2.3, section 3 and some appendices to correct mistakes. Added the case 1 < Q << g

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Cited by in corpus (56)

• 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
• Four loop twist two, BFKL, wrapping and strings
• 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
• Exploring the mirror TBA
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Konishi operator at intermediate coupling
• Quantum Wrapped Giant Magnon
• The Bound State S-Matrix for AdS5 x S5 Superstring
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Finite size effects for giant magnons on physical strings
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• 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
• Three-point Correlation functions of Giant magnons with finite size
• 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
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Finite-size effects of Membranes on AdS_4 x S_7
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• 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 Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• More three-point correlators of giant magnons with finite size
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Structure of the string R-matrix
• Toy models for wrapping effects
• Integrable Subsectors from Holography
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Close to the Giant Magnons
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Giant magnons and non-maximal giant gravitons
• Wrapping effects in supersymmetric gauge theories
• Neumann-Rosochatius system for strings in ABJ Model
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• P-Branes Dynamics, AdS/CFT and Correlation Functions