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3D Chern–Simons matter theories from generalized Argyres–Douglas theories
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DOI：10.1016/j.nuclphysb.2026.117564.png)
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Abstract
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We study 3d N=2 Chern–Simons matter theories describing the R-twisted S1-reduction of Argyres–Douglas theories of (AM−1,AN−1) type with gcd(M,N)=1, via a recently-proposed 4d/3d correspondence. In particular, for the (A2,AN−1) and (A3,AN−1) theories, we identify a series of Chern–Simons matter theories with monopole superpotentials consistent with an N=4 supersymmetry enhancement in the infrared. As a by-product, we also find a novel Nahm sum formula for the vacuum character of (3,8) W3 minimal model, from which we find another Chern–Simons matter theory describing the R-twisted S1-reduction of the (A2, A4) theory.
Keywords:
Argyres–Douglas theories
Supersymmetry enhancement
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