Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum integrable combinatorics of Schur polynomials   We examine and present new combinatorics for the Schur polynomials from the
viewpoint of quantum integrability. We introduce and analyze an integrable
six-vertex model which can be viewed as a certain degeneration model from a
t-deformed boson model. By a detailed analysis of the wavefunction from the
quantum inverse scattering method, we present a novel combinatorial formula
which expresses the Schur polynomials by using an additional parameter, which
is in the same sense but different from the Tokuyama formula. We also give an
algebraic analytic proof for the Cauchy identity and make applications of the
domain wall boundary partition functions to the enumeration of alternating sign
matrices.

34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an