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Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry

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abstract

We examine the three-dimensional N = 6 superconformal Chern--Simons theory with U(N) X U(N) gauge symmetry, which was recently constructed by Aharony, Bergman, Jafferis, and Maldacena (ABJM). Using a formulation with manifest SU(4) R-symmetry and no auxiliary fields, we verify in complete detail both the Poincare supersymmetry and the conformal supersymmetry of the action. Together, these imply the complete OSp(6|4) superconformal symmetry of the theory. The potential, which is sixth order in scalar fields, is recast as a sum of squares.

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hep-th 1

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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 46 · 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.