Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An integrable $U_q(\hat{gl}(2|2))_1$-Model: Corner Transfer Matrices and
  Young Skew Diagrams   The path space of an inhomogeneous vertex model constructed from the vector
representation of $U_q\bigl(gl(2|2)\bigr)$ and its dual is studied for various
choices of composite vertices and assignments of $gl(2|2)$-weights. At $q=0$,
the corner transfer matrix Hamiltonian acts trigonally on the space of
half-infinite configurations subject to a particular boundary condition. A
weight-preserving one-to-one correspondence between the half-infinite
configurations and the weight states of a level-one module of
$U_q\bigl(\hat{sl}(2|2)\bigr)/{\cal H}$ with grade $-n$ is found for $n\geq-3$
if the grade $-n$ is identified with the diagonal element of the CTM
Hamiltonian. In each case, the module can be decomposed into two irreducible
level-one modules, one of them including infinitely many weight states at fixed
grade. Based on a mapping of the path space onto pairs of border stripes, the
character of the reducible module is decomposed in terms of skew Schur
functions. Relying on an explicit verification for simple border stripes, a
correspondence between the paths and level-zero modules of
$U_q\bigl(\hat{sl}(2|2)\bigr)$ constructed from an infinite-dimensional
$U_q\bigl(gl(2|2)\bigr)$-module is conjectured.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
7
The categories of this paper are: hep-th