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.

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

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Cited by in corpus (45)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Exact Slope and Interpolating Functions in ABJM Theory
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Non-conformality of gamma_i-deformed N=4 SYM theory
• 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
• Exact Bremsstrahlung functions in ABJM theory
• Scattering in ABJ theories
• From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• On the Exact Interpolating Function in ABJ Theory
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• Two-loop effective potentials in general N=2, d=3 chiral superfield model
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• On wrapping corrections to GKP-like operators
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• 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 quantum spectral curve and Mellin transform
• Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• The Leading Order Dressing Phase in ABJM Theory
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• The a-function for N=2 supersymmetric gauge theories in three dimensions
• Y-system for $\gamma$-deformed ABJM Theory
• Form factors and the dilatation operator in $\mathcal{N}=4$ super Yang-Mills theory and its deformations
• An exact limit of ABJM
• Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential
• Correlation functions of the ABJM model
• ABJM flux-tube and scattering amplitudes
• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
• Supergraphs and the cubic Leigh-Strassler model
• Exact Results in Supersymmetric Gauge Theories
• Superconformal Chern-Simons theories beyond leading order
• 12 loops and triple wrapping in ABJM theory from integrability
• Large J expansion in ABJM theory revisited