Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-universal critical behaviour of a mixed-spin Ising model on the
  extended Kagome lattice   The mixed spin-1/2 and spin-3/2 Ising model on the extended Kagom\'e lattice
is solved by establishing a mapping correspondence with the eight-vertex model.
Letting the parameter of uniaxial single-ion anisotropy tend to infinity, the
model becomes exactly soluble as a free-fermion eight-vertex model. Under this
restriction, the critical points are characterized by critical exponents from
the standard Ising universality class. In a certain subspace of interaction
parameters that corresponds to a coexistence surface between two ordered
phases, the model becomes exactly soluble as a symmetric zero-field
eight-vertex model. This surface is bounded by a line of bicritical points that
have non-universal interaction-dependent critical exponents.

37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an