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Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory

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abstract

Bethe ansatz equations have been proposed for the asymptotic spectral problem of AdS_4/CFT_3. This proposal assumes integrability, but the previous verification of weak-coupling integrability covered only the su(4) sector of the ABJM gauge theory. Here we derive the complete planar two-loop dilatation generator of N=6 superconformal Chern-Simons theory from osp(6|4) superconformal symmetry. For the osp(4|2) sector, we prove integrability through a Yangian construction. We argue that integrability extends to the full planar two-loop dilatation generator, confirming the applicability of the Bethe equations at weak coupling. Further confirmation follows from an analytic computation of the two-loop twist-one spectrum.

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hep-th 1

years

2025 1

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UNVERDICTED 1

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Two roads to fortuity in ABJM theory

hep-th · 2025-12-29 · unverdicted · novelty 7.0

Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.

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  • Two roads to fortuity in ABJM theory hep-th · 2025-12-29 · unverdicted · none · ref 65 · internal anchor

    Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.