Abstract
Abstract
We study Hasse diagrams of moduli spaces of 3d $$ \mathcal{N} $$
N
= 4 quiver gauge theories. The goal of this work is twofold: 1) We introduce the notion of inverting a Hasse diagram and conjecture that the Coulomb branch and Higgs branch Hasse diagrams of certain theories are related through this operation. 2) We introduce a Hasse diagram to map out the entire moduli space of the theory, including the Coulomb, Higgs and mixed branches. For theories whose Higgs and Coulomb branch Hasse diagrams are related by inversion it is straight forward to generate the Hasse diagram of the entire moduli space. We apply inversion of the Higgs branch Hasse diagram in order to obtain the Coulomb branch Hasse diagram for bad theories and obtain results consistent with the literature. For theories whose Higgs and Coulomb branch Hasse diagrams are not related by inversion it is nevertheless possible to produce the Hasse diagram of the full moduli space using different methods. We give examples for Hasse diagrams of the entire moduli space of theories with enhanced Coulomb branches.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
26 articles.
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1. A tale of N cones;Journal of High Energy Physics;2023-09-12
2. FI-flows of 3d N=4 theories;Journal of High Energy Physics;2023-04-04
3. Fibrations and Hasse diagrams for 6d SCFTs;Journal of High Energy Physics;2022-12-28
4. Hierarchy of RG flows in 6d (1, 0) orbi-instantons;Journal of High Energy Physics;2022-12-14
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