Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Quantum DELL System   We propose quantum Hamiltonians of the double elliptic many-body integrable
system (DELL) and study its spectrum. These Hamiltonians are certain elliptic
functions of coordinates and momenta. Our results provide quantization of the
classical DELL system which was previously found in the string theory
literature. The eigenfunctions for the N-body model are instanton partition
functions of 6d SU(N) gauge theory with adjoint matter compactified on a torus
with a codimension two defect. As a byproduct we discover new family of
symmetric orthogonal polynomials which provide an elliptic generalization to
Macdonald polynomials.

5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
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
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas