Probing bad theories with the dualization algorithm II
Abstract
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.
Cite
@article{arxiv.2401.14456,
title = {Probing bad theories with the dualization algorithm II},
author = {Simone Giacomelli and Chiung Hwang and Fabio Marino and Sara Pasquetti and Matteo Sacchi},
journal= {arXiv preprint arXiv:2401.14456},
year = {2025}
}
Comments
131 pages, 84 figures; v3: typos have been corrected; additional clarifications regarding the electric dualization algorithm have been included; the code has been improved