Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3

Abstract

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2) x SU(2) sector.

19 pages; v2, v3: references added, typos fixed

References in corpus (28)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Giant Magnons
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Finite-size Effects from Giant Magnons
• The Bethe ansatz for superconformal Chern-Simons
• Wrapping at four loops in N=4 SYM
• Wrapping interactions at strong coupling -- the giant magnon
• Three-dimensional N=6 SCFT's and their membrane dynamics
• 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
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The AdS4/CFT3 algebraic curve
• Infinite spin limit of semiclassical string states
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Gauge invariant finite size spectrum of the giant magnon
• Finite-Size Effects for Dyonic Giant Magnons
• Comment on the Scaling Function in AdS4 x CP3
• Finite size effects for giant magnons on physical strings
• Semi-classical strings in AdS_4*CP^3
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Finite size giant magnons and interactions

Cited by in corpus (7)

• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Non-planar ABJM Theory and Integrability
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Semiclassical strings in AdS(3) X S^2