Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Geometry and String Duality   A review of the applications of noncommutative geometry to a systematic
formulation of duality symmetries in string theory is presented. The spectral
triples associated with a lattice vertex operator algebra and the corresponding
Dirac-Ramond operators are constructed and shown to naturally incorporate
target space and discrete worldsheet dualities as isometries of the
noncommutative space. The target space duality and diffeomorphism symmetries
are shown to act as gauge transformations of the geometry. The connections with
the noncommutative torus and Matrix Theory compactifications are also
discussed.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat