The Spectral Action Principle in Noncommutative Geometry and the Superstring

Details The Spectral Action Principle in Noncommutative Geometry and the Superstring The Spectral Action Principle in Noncommutative Geometry and the Superstring

1997-01-20

arxiv.org/abs/hep-th/9701096v3

Phys.Lett. B400 (1997) 87-96

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 13 pages. Correction to equation 47, which should read Tr| |^2 and not |Tr |^2. Final form to appear in Physics Le

Scientific paper

10.1016/S0370-2693(97)00334-1

A supersymmetric theory in two-dimensions has enough data to define a noncommutative space thus making it possible to use all tools of noncommutative geometry. In particular, we apply this to the N=1 supersymmetric non-linear sigma model and derive an expression for the generalized loop space Dirac operator, in presence of a general background, using canonical quantization. The spectral action principle is then used to determine a spectral action valid for the fluctuations of the string modes.

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