2 papers
math-ph2024
An index for invertible phases of two-dimensional quantum spin systems
Nikita Sopenko
We define an index for invertible phases of two-dimensional fermionic and bosonic quantum spin systems without any additional symmetry. Conjecturally, it provides a microscopic def…
math-ph2020
Hall conductance and the statistics of flux insertions in gapped interacting lattice systems
Anton Kapustin, Nikita Sopenko
We study charge transport for zero-temperature infinite-volume gapped lattice systems in two dimensions with short-range interactions. We show that the Hall conductance is locally…