Year: 2023
Type: preprint
Abstract: We study particular families of bad 3d $\mathcal{N}=4$ quiver gauge theories, whose Higgs branches consist of many cones. We show the role of a novel brane configuration in realizing the Higgs moduli for each distinct cone. Through brane constructions, magnetic quivers, Hasse diagrams, and Hilbert series computations we study the intricate structure of the classical Higgs branches. These Higgs branches are both non-normal (since they consist of multiple cones) and non-reduced (due to the presence of nilpotent operators in the chiral ring). Applying the principle of \emph{inversion} to the classical Higgs branch Hasse diagrams, we conjecture the quantum Coulomb branch Hasse diagrams. These Coulomb branches have several most singular loci, corresponding to the the several cones in the Higgs branch. We propose the Hasse diagrams of the full quantum moduli spaces of our theories. The quivers we study can be taken to be 5d effective gauge theories living on brane webs. Their infinite coupling theories have Higgs branches which also consist of multiple cones. Some of these cones have \emph{decorated} magnetic quivers, whose 3d Coulomb branches remain elusive.
Source: arXiv (Cornell University)
Institutions: Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris Sciences et Lettres, Université Paris-Saclay, École Normale Supérieure - PSL, Laboratoire de Physique de l'Ecole Normale Supérieure, Institut de Physique Théorique, Imperial College London, Southeast University, University of Oxford
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1112029613, ENS- International Center for Fundamental Physics and its interfaces, Paris Sciences et Lettres, Algebraic Foundations of Supersymmetric Quantum Field Theory, G4190806336, Deconstructing the string landscape, G471331628, G6759105742, G7240651115, G782245399, M-Theory, Cosmology and Quantum Field Theory
OpenAlex ID: W4361865294