17 citations · 26 across the 8 of their papers we have counts for
9 papers
Anomalies, higher symmetries, and homotopy theory I: crossed precosheaves and a nonabelian Cech construction
Anton Kapustin, Shixiong Xu
Symmetries of a quantum field theory or a quantum lattice model are expected to be described not by a group but by a homotopy type, whose homotopy groups are the higher symmetry gr…
On thermalization in many-body classical Floquet systems
Anton Kapustin
It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state…
Chaos and thermalization in Clifford-Floquet dynamics
Anton Kapustin, Daniil Radamovich
We study the ergodic properties of a unitary Floquet dynamics arising from the repeated application of a translationally-invariant Clifford Quantum Cellular Automata to an infinite…
Higher symmetries and anomalies in quantum lattice systems
Anton Kapustin, Shixiong Xu
We define an 't Hooft anomaly index for a group acting on a 2d quantum lattice system by finite-depth circuits. It takes values in the degree-4 cohomology of the group and is an ob…
A mathematical theory of topological invariants of quantum lattice systems
Adam Artymowicz, Anton Kapustin, Bowen Yang
We show that Hall conductance and its non-abelian and higher-dimensional analogs are obstructions to promoting a symmetry of a state to a gauge symmetry. To do this, we define a lo…
Interplay between two mechanisms of resistivity
Anton Kapustin, Gregory Falkovich
Mechanisms of resistivity can be divided into two basic classes: one is dissipative (like scattering on phonons) and another is quasi-elastic (like scattering on static impurities)…
A soluble model of a Non-Equilibrium Steady State: the van Kampen objection and other lessons
Anton Kapustin
A simple model of charge transport is provided by a classical particle in a smooth random potential and a dissipative coupling to the environment in the form of Markovian noise and…
Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theorem
Anton Kapustin, Nikita Sopenko
For any locality-preserving action of a group on a quantum spin chain one can define an anomaly index taking values in the group cohomology of . The anomaly index is a kinem…
New IR Dualities in Supersymmetric Gauge Theory in Three Dimensions
Micha Berkooz, Anton Kapustin
We present nontrivial examples of d=3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct fro…