# String Geometry and the Noncommutative Torus

@article{Landi1999StringGA,
title={String Geometry and the Noncommutative Torus},
author={Giovanni Landi and Fedele Lizzi and Richard Joseph Szabo},
journal={Communications in Mathematical Physics},
year={1999},
volume={206},
pages={603-637}
}
• Published 12 June 1998
• Mathematics
• Communications in Mathematical Physics
Abstract:We construct a new gauge theory on a pair of d-dimensional noncommutative tori. The latter comes from an intimate relationship between the noncommutative geometry associated with a lattice vertex operator algebra ? and the noncommutative torus. We show that the tachyon algebra of ? is naturally isomorphic to a class of twisted modules representing quantum deformations of the algebra of functions on the torus. We construct the corresponding real spectral triples and determine their…
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