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Probing bad theories with the dualization algorithm. Part II.

  • Simone Giacomelli
  • , Chiung Hwang
  • , Fabio Marino
  • , Sara Pasquetti
  • , Matteo Sacchi
  • University of Milan - Bicocca
  • National Institute for Nuclear Physics
  • University of Science and Technology of China
  • Peng Huanwu Center for Fundamental Theory
  • University of Surrey

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We continue our analysis of bad theories initiated in [1], 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.

Original languageEnglish
Article number165
JournalJournal of High Energy Physics
Volume2024
Issue number7
DOIs
StatePublished - Jul 2024

Keywords

  • Supersymmetric Gauge Theory
  • Supersymmetry and Duality

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