Abstract
We study ultraviolet (UV) incarnations of deep infrared (IR) physics on the Coulomb branch of the simplest interacting 4D \( \mathcal{N} \) = 2 superconformal field theory: the minimal Argyres-Douglas (MAD) theory. One of the most basic properties of the Coulomb branch is an emergent infinite-dimensional higher-spin symmetry. While the MAD theory is interacting and therefore does not have such a symmetry, we find UV operators that encode the emergent complex higher-spin symmetry on the Coulomb branch. Moreover, we show that cousins of these UV operators give rise to cousins of the IR higher-spin multiplets. In terms of superconformal representation theory, we are led to a conjecture on the exact spectrum of \( {\overline{\mathcal{C}}}_{R,r\left(j,\overline{j}\right)} \) multiplets in the MAD theory for all R, r, j, and \( \overline{j} \) satisfying \( R+\overline{j}-j+1=0 \), thereby making progress towards a full characterization of the protected spectrum. Along the way, we give a geometrical interpretation of these operators and include them in an extension of the Coulomb branch / \( \mathcal{N} \) = 2 chiral operator correspondence.
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Bhargava, C., Buican, M. & Jiang, H. Argyres-Douglas avatars of Coulomb branch physics. J. High Energ. Phys. 2023, 52 (2023). https://doi.org/10.1007/JHEP03(2023)052
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DOI: https://doi.org/10.1007/JHEP03(2023)052