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

Using superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) × 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 rela...

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Bibliographic Details
Published in:The journal of high energy physics 2010-12, Vol.2010 (12)
Main Authors: Leoni, M., Mauri, A., Minahan, J. A., Ohlsson Sax, O., Santambrogio’, A., Sieg, C., Tartaglino-Mazzucchelli, G.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Couplings
Elementary Particles
Field theory (physics)
High energy physics
Magnons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Relativity Theory
String Theory
Supersymmetry
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Summary:Using superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) × 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.
ISSN:1029-8479
DOI:10.1007/JHEP12(2010)074