Space-dependent symmetries and fractons
KT Grosvenor, C Hoyos, F Peña-Benítez… - Frontiers in …, 2022 - frontiersin.org
There has been a surge of interest in effective non-Lorentzian theories of excitations with
restricted mobility, known as fractons. Examples include defects in elastic materials, vortex …
restricted mobility, known as fractons. Examples include defects in elastic materials, vortex …
Global dipole symmetry, compact Lifshitz theory, tensor gauge theory, and fractons
We study field theories with global dipole symmetries and gauge dipole symmetries. The
famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in …
famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in …
Subsystem non-invertible symmetry operators and defects
We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …
Exotic symmetries, duality, and fractons in 2+ 1-dimensional quantum field theory
N Seiberg, SH Shao - SciPost Physics, 2021 - scipost.org
We discuss nonstandard continuum quantum field theories in 2+ 1 dimensions. They exhibit
exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to …
exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to …
Exotic symmetries, duality, and fractons in 3+1-dimensional quantum field theory
N Seiberg, SH Shao - SciPost Physics, 2020 - scipost.org
We extend our exploration of nonstandard continuum quantum field theories in 2+ 1
dimensions to 3+ 1 dimensions. These theories exhibit exotic global symmetries, a peculiar …
dimensions to 3+ 1 dimensions. These theories exhibit exotic global symmetries, a peculiar …
Low-energy limit of some exotic lattice theories and UV/IR mixing
We continue our exploration of exotic, gapless lattice and continuum field theories with
subsystem global symmetries. In an earlier paper, we presented free lattice models enjoying …
subsystem global symmetries. In an earlier paper, we presented free lattice models enjoying …
Breakdown of hydrodynamics below four dimensions in a fracton fluid
Hydrodynamics is a universal effective theory that describes the thermalization of chaotic
many-body systems, and depends only on the symmetries of the underlying theory. Although …
many-body systems, and depends only on the symmetries of the underlying theory. Although …
[HTML][HTML] A modified Villain formulation of fractons and other exotic theories
P Gorantla, HT Lam, N Seiberg… - Journal of Mathematical …, 2021 - pubs.aip.org
We reformulate known exotic theories (including theories of fractons) on a Euclidean
spacetime lattice. We write them using the Villain approach, and then we modify them to a …
spacetime lattice. We write them using the Villain approach, and then we modify them to a …
Anomaly inflow for subsystem symmetries
We study't Hooft anomalies and the related anomaly inflow for subsystem global symmetries.
These symmetries and anomalies arise in a number of exotic systems, including models with …
These symmetries and anomalies arise in a number of exotic systems, including models with …
Foliated quantum field theory of fracton order
K Slagle - Physical Review Letters, 2021 - APS
We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in
the continuum. FQFT is defined on a manifold with a layered structure given by one or more …
the continuum. FQFT is defined on a manifold with a layered structure given by one or more …