Work

Probing bad theories with the dualization algorithm II

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2401.14456

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

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca, University of Milano-Bicocca, University of Science and Technology of China, Peng Huanwu Center for Fundamental Theory, University of Oxford

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Science and Technology Facilities Council, H2020 European Research Council

Awards: G2012042336, Algebraic Foundations of Supersymmetric Quantum Field Theory

OpenAlex ID: W4391334964

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