Quivers, Lattice Gauge Theories and Fractons

Abstract

We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This class of theories exhibit a ${\mathbb{Z}}_N$ 1-form global symmetry that can be used to classify their phases. The order parameter of this transition is the expectation value of Wilson loops, which correspond to mesonic operators in the underlying quiver gauge theory. We discuss how this perspective naturally fits with the deconstruction of a higher dimensional theory.

arXiv comment6 pages, 3 figures

References in corpus (20)

• Generalized Global Symmetries
• Electroweak symmetry breaking from dimensional deconstruction
• (De)Constructing Dimensions
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Fracton Phases of Matter
• Brane Dimers and Quiver Gauge Theories
• A brief review of "little string theories"
• Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
• Non-Invertible Global Symmetries and Completeness of the Spectrum
• Deconstructing (2,0) and Little String Theories
• Higher-form symmetries of 6d and 5d theories
• Bipartite Field Theories: from D-Brane Probes to Scattering Amplitudes
• Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers
• Fractons from confinement in one dimension
• Counting Orbifolds
• Fractons and exotic symmetries from branes
• Sublattice Counting and Orbifolds
• Exact Deconstruction of the 6D (2,0) Theory
• Comments on Quivers and Fractons
• Deconstructing Little Strings with $\mathcal{N}=1$ Gauge Theories on Ellipsoids

Cited by in corpus (1)

• Scalar, fermionic and supersymmetric field theories with subsystem symmetries in d+1 dimensions