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Target Space Duality in Noncommutative Geometry

Target Space Duality in Noncommutative Geometry

The structure of spacetime duality and discrete world sheet symmetries of compactified string theory is examined within the framework of noncommutative geometry. The full noncommutative string spacetime is constructed using the Fr\"ohlich-Gaw\ifmmode \mbox{\c{e}}\else \c{e}\fi{}dzki spectral triple which incorporates the vertex operator algebra of the string theory. The duality group appears …