Probing bad theories with the dualization algorithm. Part I

Simone Giacomelli; Chiung Hwang; Fabio Marino; Sara Pasquetti; Matteo Sacchi

doi:10.1007/JHEP04(2024)008

Probing bad theories with the dualization algorithm. Part I

Simone Giacomelli
, Chiung Hwang
, Fabio Marino
, Sara Pasquetti
, Matteo Sacchi

Simons Center for Geometry & Physics

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 journal › Article › peer-review

14 Scopus citations

Abstract

Recently an algorithm to build SL(2, ℤ) duals, including mirror duals, of 3d N = 4 quiver theories and their 4d 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.

Original language	English
Article number	8
Journal	Journal of High Energy Physics
Volume	2024
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2024)008
State	Published - Apr 2024

Keywords

Duality in Gauge Field Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality

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10.1007/JHEP04(2024)008

Cite this

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AU - Giacomelli, Simone

AU - Hwang, Chiung

AU - Marino, Fabio

AU - Pasquetti, Sara

AU - Sacchi, Matteo

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Probing bad theories with the dualization algorithm. Part I

Abstract

Keywords

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