Abstract
Integrable structure has played a very important role in the study of various non-perturbative aspects of planar Aharony-Bergman-Jafferis-Maldacena (ABJM) theories. In this paper, we showed that this remarkable structure survives after orbifold operation with discrete group Γ < SU(4) R × U(1) b . For general Γ(≃ ℤ n ), we prove the integrability in the scalar sector at the planar two-loop order and get the Bethe ansatz equations (BAEs). The eigenvalues of the anomalous dimension matrix are also obtained. For Γ < SU(4), two-loop all-sector and all-loop BAEs are proposed. Supersymmetric orbifolds are discussed in this framework.
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Bai, N., Chen, HH., Ding, XC. et al. Integrability of orbifold ABJM theories. J. High Energ. Phys. 2016, 101 (2016). https://doi.org/10.1007/JHEP11(2016)101
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DOI: https://doi.org/10.1007/JHEP11(2016)101