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Fracton phases of matter
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
Snowmass white paper: Generalized symmetries in quantum field theory and beyond
Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …
symmetries that act on defects and other subsystems, and symmetries that are categorical …
Fracton hydrodynamics
We introduce new classes of hydrodynamic theories inspired by the recently discovered
fracton phases of quantum matter. Fracton phases are characterized by elementary …
fracton phases of quantum matter. Fracton phases are characterized by elementary …
Exotic symmetries, duality, and fractons in 2+ 1-dimensional quantum field theory
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 …
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 …
Quantum Liquids: Emergent higher-rank gauge theory and fractons
Fractons emerge from many-body systems, featuring subdimensional particles with
restricted mobility. These particles have attracted interest for their roles across disciplines …
restricted mobility. These particles have attracted interest for their roles across disciplines …
Localization in fractonic random circuits
We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …
Exotic symmetries, duality, and fractons in 3+1-dimensional quantum field theory
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 …
A modified Villain formulation of fractons and other exotic theories
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 …
Towards classification of Fracton phases: the multipole algebra
We present an effective field theory approach to the fracton phases. The approach is based
on the notion of a multipole algebra. It is an extension of space (time) symmetries of a …
on the notion of a multipole algebra. It is an extension of space (time) symmetries of a …