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Probing bad theories with the dualization algorithm II

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arxiv 2401.14456 v3 pith:ODOE2NJT submitted 2024-01-25 hep-th

Probing bad theories with the dualization algorithm II

classification hep-th
keywords theoriesquiveralgorithmfunctionpartitionunitarydetaildiscuss
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We continue our analysis of bad theories, focusing on quiver theories with bad unitary and special unitary gauge groups in three dimensions. By extending the dualization algorithm we prove that the partition function of bad linear quivers can be written as a distribution, given by a sum of terms involving a product of delta functions times the partition function of a good quiver theory. We describe in detail the good quiver theories appearing in the partition function of the bad theory and discuss the brane interpretation of our result. We also discuss in detail the lift of these theories to 4d quivers with symplectic gauge groups, in which our results can be recovered by studying the Higgsing triggered by the expectation value for certain chiral operators. The paper is accompanied by a Mathematica file which implements the algorithm for an arbitrary unitary bad linear quiver.

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Cited by 2 Pith papers

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

  1. Algorithmic Dualization of Unitary Circular Quivers

    hep-th 2026-07 unverdicted novelty 7.0

    Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for ...

  2. Refined 3D index

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    A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant tha...