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Probing bad theories with the dualization algorithm I

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arxiv 2309.05326 v3 pith:7OB3WOHR submitted 2023-09-11 hep-th

Simone Giacomelli , Chiung Hwang , Fabio Marino , Sara Pasquetti , Matteo Sacchi This is my paper · ORCID
classification hep-th
keywords theoriesalgorithmdualsfunctionmathcalparameterspartitionunitary
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abstract

Recently an algorithm to build $SL(2,\mathbb{Z})$ duals, including mirror duals, of 3d $\mathcal{N}=4$ quiver theories and their 4d $\mathcal{N}=1$ uplift has been introduced. In this work we use this new tool to study the so-called bad theories. Our approach allows us to determine exactly indices/partition functions for generic values of fugacities/real mass and FI parameters revealing their surprising feature: the 4d index/3d partition function of a bad theory behaves as a sum of distributions rather than an ordinary function of the deformation parameters. We focus on the bad SQCD, with $U(N_c)$ gauge group in 3d and $USp(2N_c)$ in 4d, while in an upcoming paper we will consider linear quivers which, in the 3d case, have both unitary and special unitary bad nodes.

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Cited by 3 Pith papers

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

  1. A Chiral-Planar dualization algorithm for 3d $\mathcal{N}=2$ Chern-Simons-matter theories

    hep-th 2025-05 conditional novelty 7.0 of 10

    A new mirror-like dualization algorithm produces abelian planar duals for a broad class of chiral N=2 Chern-Simons quiver theories, with explicit symmetry-enhancement predictions.

  2. A Pathway to Decay and Fission of Orthosymplectic Quiver Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    An orthosymplectic extension of the Decay and Fission algorithm is proposed, validated on class S and 6d orbi-instanton quivers, and used to predict new Higgs branch RG flows.

  3. A Bound on 3d Mirror Pairs

    hep-th 2024-11 conditional novelty 6.0 of 10

    New 3d mirror pairs are proposed for ABCD-type quivers with mixed U/SU nodes, and it is conjectured that unitary quivers containing exceptional affine Dynkin subquivers have no Lagrangian quiver mirror.

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