Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal subspaces for the quantum affine vertex algebra in type
  $A_1^{(1)}$   By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and
Milas we introduce and study the principal subspaces associated with the
Etingof-Kazhdan quantum affine vertex algebra of integer level $k\geqslant 1$
and type $A_1^{(1)}$. We show that the principal subspaces possess the quantum
vertex algebra structure, which turns to the usual vertex algebra structure of
the principal subspaces of generalized Verma and standard modules at the
classical limit. Moreover, we find their topological quasi-particle bases which
correspond to the sum sides of certain Rogers-Ramanujan-type identities.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat