An Effective Superstring Spectral Action

Details An Effective Superstring Spectral Action An Effective Superstring Spectral Action

1997-05-21

arxiv.org/abs/hep-th/9705153v1

Phys.Rev. D56 (1997) 3555-3567

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex file

Scientific paper

10.1103/PhysRevD.56.3555

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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