Year: 1997
Type: article
Abstract: 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 naturally as a subgroup of the automorphism group of the vertex operator algebra and spacetime duality is shown to arise as the possibility of associating two independent Dirac operators, arising from the chiral structure of the world sheet theory, to the noncommutative geometry.
Source: Physical Review Letters
Authors: Fedele Lizzi, Richard J. Szabo
Institution: University of Oxford
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2065859237