String Geometry and the Noncommutative Torus

  title={String Geometry and the Noncommutative Torus},
  author={Giovanni Landi and Fedele Lizzi and Richard Joseph Szabo},
  journal={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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