Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3

Abstract

We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS_4 x CP^3 in two different approaches. The off-shell algebraic curve method is used to quantize the classical string configurations in semi-classical way and to compute the corrections to the string energies. These results are compared with the F-term Lüscher formula based on the S-matrix of the AdS_4 / CFT_3. The fact that the two results match exactly provides another stringent test for the all-loop integrability conjecture and the exact S-matrix based on it.

21 pages, No figures, corrected typos, added some references

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Giant Magnons
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• On the Singularities of the Magnon S-matrix
• Wrapping interactions at strong coupling -- the giant magnon
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• The AdS4/CFT3 algebraic curve
• Infinite spin limit of semiclassical string states
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Finite size effects for giant magnons on physical strings
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• 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
• A New and Elementary CP^n Dyonic Magnon
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Finite size giant magnons and interactions

Cited by in corpus (12)

• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• The Leading Order Dressing Phase in ABJM Theory
• Spectral curve for open strings attached to the Y=0 brane
• Integrability of N = 6 Chern-Simons Theory
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Classical strings in $Ad{S}_4\times {\mathbb{CP}}^3$ with three angular momenta
• Worldsheet one-loop energy correction to IIA Giant Magnon