Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic models of interacting Yang-Lee anyons   Collective states of interacting non-Abelian anyons have recently been
studied mostly in the context of certain fractional quantum Hall states, such
as the Moore-Read state proposed to describe the physics of the quantum Hall
plateau at filling fraction v = 5/2. In this manuscript, we further expand this
line of research and present non-unitary generalizations of interacting anyon
models. In particular, we introduce the notion of Yang-Lee anyons, discuss
their relation to the so-called `Gaffnian' quantum Hall wave function, and
describe an elementary model for their interactions. A one-dimensional version
of this model -- a non-unitary generalization of the original golden chain
model -- can be fully understood in terms of an exact algebraic solution and
numerical diagonalization. We discuss the gapless theories of these chain
models for general su(2)_k anyonic theories and their Galois conjugates. We
further introduce and solve a one-dimensional version of the Levin-Wen model
for non-unitary Yang-Lee anyons.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph