Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical properties of quantum three- and four-state Potts models with
  boundaries polarized along the transverse field   By computing the low-lying energy excitation spectra with the density matrix
renormalization group algorithm we confirm the boundary conformal field theory
predictions for the three-state Potts minimal model in 1+1D with boundaries
polarized in the direction of the transverse field. We further show that the
transverse-polarized boundary conditions lead to scale-invariant conformal
towers of states at the critical point of the quantum four-state Potts model -
a special symmetric case of the Ashkin-Teller model. Finally, we
phenomenologically establish the duality between fixed and free, and between
transverse-polarized and three-state-mixed boundary conditions at the
four-state Potts critical point.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an