3 papers
cond-mat.str-el2025
Anomalies on the Lattice, Homotopy of Quantum Cellular Automata, and a Spectrum of Invertible States
Alexander M. Czajka, Roman Geiko, Ryan Thorngren
We develop a rigorous topological theory of anomalies on the lattice, which are obstructions to gauging global symmetries and the existence of trivial symmetric states. We also con…
cond-mat.str-el2025
An Algebraic Theory of Gapped Domain Wall Partons
Matthew Buican, Roman Geiko, Milo Moses +1
The entanglement bootstrap program has generated new quantum numbers associated with degrees of freedom living on gapped domain walls between topological phases in two dimensions.…
math-ph2024
Parametrized topological phases in 1d and T-duality
Roman Geiko
There are families of physical systems that cannot be adiabatically evolved to the trivial system uniformly across the parameter space, even if each system in the family belongs to…