Finite-Size Effects for Multi-Magnon States

Abstract

We propose the generalized Luscher formula for multi-magnon states by which one can compute the finite-size correction to the energy of multi giant magnons at classical and one-loop levels. It is shown that the F-term of our formula is consistent with the exact finite-size spectrum of the sinh-Gordon model, and the mu-term agrees with the finite-size energy of magnon boundstate of the asymptotic Bethe Ansatz in the su(2) sector at strong coupling. In an appendix, we evaluate our formula at weak coupling under some approximations, and find that the transcendental terms arise from a sum over an infinite tower of BPS boundstates.

1+35 pages, v3: further clarification provided in Section 4, Section 5 moved to an appendix, v4: improved arguments for the case of multi dyonic giant magnons, based on the published version

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Cited by in corpus (28)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• 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
• One-point functions in massive integrable QFT with boundaries
• Temperature quantization from the TBA equations
• Overlap singularity and time evolution in integrable quantum field theory
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Finite size corrections for open strings/open chains in planar AdS/CFT
• 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
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• 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
• Spectral curve for open strings attached to the Y=0 brane
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• P-Branes Dynamics, AdS/CFT and Correlation Functions