Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Review of Symmetry Algebras of Quantum Matrix Models in the Large-N
  Limit   This is a review article in which we will introduce, in a unifying fashion
and with more intermediate steps in some difficult calculations, two
infinite-dimensional Lie algebras of quantum matrix models, one for the open
string sector and one for the closed string sector. Physical observables of
quantum matrix models in the large-N limit can be expressed as elements of
these Lie algebras. We will see that both algebras arise as quotient algebras
of a larger Lie algebra. We will also discuss some properties of these Lie
algebras not published elsewhere yet, and briefly review their relationship
with well-known algebras like the Cuntz algebra, the Witt algebra and the
Virasoro algebra. We will also review how Yang--Mills theory, various low
energy effective models of string theory, quantum gravity, string-bit models,
and quantum spin chain models can be formulated as quantum matrix models.
Studying these algebras thus help us understand the common symmetry of these
physical systems.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci