Spectral Geometry of Heterotic Compactifications

Details Spectral Geometry of Heterotic Compactifications Spectral Geometry of Heterotic Compactifications

1998-12-27

arxiv.org/abs/hep-th/9812235v1

Class.Quant.Grav. 16 (1999) 3013-3024

Physics

High Energy Physics

High Energy Physics - Theory

14 pages LaTeX

Scientific paper

10.1088/0264-9381/16/9/317

The structure of heterotic string target space compactifications is studied using the formalism of the noncommutative geometry associated with lattice vertex operator algebras. The spectral triples of the noncommutative spacetimes are constructed and used to show that the intrinsic gauge field degrees of freedom disappear in the low-energy sectors of these spacetimes. The quantum geometry is thereby determined in much the same way as for ordinary superstring target spaces. In this setting, non-abelian gauge theories on the classical spacetimes arise from the K-theory of the effective target spaces.

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