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 …

We present a systematic recipe for generating and classifying duality transformations in one-
dimensional quantum lattice systems. Our construction emphasizes the role of global …

It has been a long-standing open problem to construct a general framework for relating the
spectra of dual theories to each other. Here, we solve this problem for the case of one …

We continue the study, initiated in [L. Fei, S. Giombi, and IR Klebanov, Phys. Rev. D 90,
025018 (2014)], of the O (N) symmetric theory of N+ 1 massless scalar fields in 6-ε …

Motivated by the three-dimensional topological field theory/two-dimensional conformal field
theory (CFT) correspondence, we study a broad class of one-dimensional quantum …

A bstract We present a novel M-theoretic approach of constructing and classifying anyonic
topological phases of matter, by establishing a correspondence between (2+ 1) d …

A bstract Given the Hamiltonian realisation of a topological (3+ 1) d gauge theory with finite
group G, we consider a family of tensor network representations of its ground state …

Symmetries such as gauge invariance and anyonic symmetry play a crucial role in quantum
many-body physics. We develop a general approach to constructing gauge-invariant or …

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 …

A bstract A pair of the 2D non-unitary minimal models M (2, 5) is known to be equivalent to a
variant of the M (3, 10) minimal model. We discuss the RG flow from this model to another …