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

References in corpus (16)

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• The S-matrix of String Bound States
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• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Interacting finite-size magnons
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
• Aspects of Integrability in AdS/CFT Duality
• Wrapping Interactions and the Konishi Operator
• Is there a tower of charges to be discovered?

Cited by in corpus (6)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux