Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories

Abstract

Using N=2 superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) x SU(2) sector of ABJM and ABJ supersymmetric Chern-Simons theories. Our computation yields a four-loop contribution to the function h^2(λ) (and its ABJ generalization) in the magnon dispersion relation which has fixed maximum transcendentality and coincides with the findings in components given in the revised versions of arXiv:0908.2463 and arXiv:0912.3460. We also discuss possible scenarios for an all-loop function h^2(λ) that interpolates between weak and strong couplings.

LaTeX, feynmp, 34 pages; v2: typos corrected, formulations improved, references added

References in corpus (19)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Giant Magnons
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• 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
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Comment on the Scaling Function in AdS4 x CP3
• Konishi operator at intermediate coupling
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace

Cited by in corpus (14)

• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• One Loop Amplitudes In ABJM
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Two-loop cusp anomaly in ABJM at strong coupling
• From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Integrated negative geometries in ABJM
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• The a-function for N=2 supersymmetric gauge theories in three dimensions
• Correlation functions of the ABJM model
• Exact Results in Supersymmetric Gauge Theories