Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex Algebras, Lie Algebras and Superstrings   Certain vertex algebras and Lie algebras arising in superstring theory are
investigated.
  We show that the Fock space of a compactified Neveu-Schwarz superstring, i.e.
a Neveu-Schwarz superstring moving on a torus, carries the structure of a
vertex superalgebra with a Neveu-Schwarz element. This implies that the
physical states of such a string form a Lie algebra. The same is true for the
GSO-projected states. The structure of these Lie algebras is investigated in
detail. In particular there is a natural invariant form on them. In case that
the torus has Lorentzian signature the quotient of these Lie algebras by the
kernel of this form is a generalized Kac-Moody algebra. The roots can be easily
described. If the dimension of space-time is smaller than or equal to 10 we can
even determine their multiplicities.

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg