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arXiv · hep-th/9705153

An Effective Superstring Spectral Action

Ali H. Chamseddine
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Abstract

A supersymmetric theory in two-dimensions has enough data to define a noncommutative space thus making it possible to use all the 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 used to show that the superstring partition function is also a spectral action valid for the fluctuations of the string modes.

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Ali H. Chamseddine. 1997-05-21. An Effective Superstring Spectral Action. https://doi.org/10.1103/physrevd.56.3555

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