Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Jacobi-Trudi Formula and $E_8$ Structure in the Ising Model in a
  Field   We investigate a 1D quantum system associated with the Ising model in a
field(the dilute $A_3$ model) by the recently developed quantum transfer matrix
(QTM) approach. A closed set of functional relations is found among variants of
fusion QTMs which are characterized by skew Young tableaux. These relations are
proved by using a quantum analogue of Jacobi-Trudi formula, together with
special features at "root of unity" . The numerical analysis on their
eigenvalues shows a remarkable coincidence with exponents characteristic to
$E_8$. From these findings, we have successfully recovered the $E_8$
Thermodynamic Bethe ansatz equation by Bazhanov et al, however, without
specific choice of strings solutions.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn