Duality Symmetries and Noncommutative Geometry of String Spacetimes

  title={Duality Symmetries and Noncommutative Geometry of String Spacetimes},
  author={Fedele Lizzi and Richard J. Szabo},
We examine the structure of spacetime symmetries of toroidally compactified string theory within the framework of noncommutative geometry. Following a proposal of Fröhlich and Gawȩdzki, we describe the noncommutative string spacetime using a detailed algebraic construction of the vertex operator algebra. We show that the spacetime duality and discrete worldsheet symmetries of the string theory are a consequence of the existence of two independent Dirac operators, arising from the chiral… CONTINUE READING


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