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3D TFTs from 4d ${\cal N}=2$ BPS Particles

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arxiv 2409.20393 v1 pith:VCBJ6GQS submitted 2024-09-30 hep-th

Davide Gaiotto , Heeyeon Kim This is my paper
classification hep-th
keywords theoriesassociatedtopologicaladmitalgebrasalgorithmargyres-douglasarise
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Three-dimensional TQFTs from Argyres--Douglas theories via the 3d/3d correspondence

    hep-th 2026-07 conditional novelty 7.0 of 10

    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...

  2. R-Twisting, Fibered Knots, and Gauge Theories

    hep-th 2026-07 conditional novelty 6.0 of 10

    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.

  3. Supersymmetric zeta functions and determinants

    hep-th 2025-11 conditional novelty 6.0 of 10

    Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.

  4. Generalized Schur partition functions and RG flows

    hep-th 2025-06 conditional novelty 6.0 of 10

    The generalized Schur partition function of SU(2) N_f=4 SQCD, evaluated at alpha = h^vee_g / 6, reproduces the Schur indices of every SCFT in the Deligne-Cvitanovic rank-one series.

  5. Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.

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