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3D TFTs from 4d {cal N}=2 BPS Particles
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3D TFTs from 4d {cal N}=2 BPS Particles
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We propose a general strategy to build three-dimensional gauge theories with four supercharges which enjoy a supersymmetry enhancement in the IR. The resulting IR SCFTs admit topological twists with particularly nice properties, as well as boundary rational chiral algebras such that the associated Modular Tensor Categories are controlled by the topological twist. The theories arise from a twisted circle compactification of four-dimensional theories of Argyres-Douglas type. We develop a novel algorithm to compute or manipulate protected quantities associated to these theories, such as ellipsoid partition functions and superconformal indices and half-indices.
Forward citations
Cited by 3 Pith papers
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Three-dimensional TQFTs from Argyres--Douglas theories via the 3d/3d correspondence
The twisted circle reduction of the (A1,A2n) Argyres-Douglas theory is realized as a DGG abelian Chern-Simons-matter theory on the lens space L(2n+3,2k), with maximal (one-less-than-maximal) monopole superpotential fl...
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R-Twisting, Fibered Knots, and Gauge Theories
R-twisting scales the R-symmetry circle angle by mn/(m+n), turning Argyres–Douglas Seiberg–Witten curves into mapping tori of (m,n) torus knots that label 3d gauge theories.
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On non-relativistic integrable models and 4d SCFTs
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
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