A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Although it has been a well-known fact, for more than two decades, that category theory is
needed for the study of topological orders, it is still a non-trivial challenge for students and …

The Software for Assisted Habitat Modeling (SAHM) has been created to both expedite
habitat modeling and help maintain a record of the various input data, pre‐and post …

We describe how to construct generalized string-net models, a class of exactly solvable
lattice models that realize a large family of two-dimensional topologically ordered phases of …

A bstract We define Hecke operators on vector-valued modular forms of the type that appear
as characters of rational conformal field theories (RCFTs). These operators extend the …

The VisTrails system supports the creation of reproducible experiments. VisTrails integrates
data acquisition, derivation, analysis, and visualization as executable components …

Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons,
whose exchanges are described by a non-Abelian group acting on a set of wave functions …

Hecke operators relate characters of rational conformal field theories (RCFTs) with different
central charges, and extend the previously studied Galois symmetry of modular …

We propose the platform of a Yang-Lee anyon system which is constructed from Majorana
bound states in topological superconductors. Yang-Lee anyons, described by the nonunitary …

The Levin-Wen model of string-net condensation explains how topological phases emerge
from the microscopic degrees of freedom of a physical system. However, the original …