The Spectral Action Principle in Noncommutative Geometry and the Superstring

Preprint

21 March 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9701096

Abstract

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.

Keywords

SPECTRAL ACTION PRINCIPLE
NONCOMMUTATIVE GEOMETRY
SUPERSYMMETRIC
TWO DIMENSIONS
QUANTIZATION
SUPERSTRING
SIGMA MODEL

All Related Versions

Version 1, 1997-01-20, ArXiv
Version 2, 1997-03-20, ArXiv
Version 3, 1997-03-21, ArXiv
Published version: Physics Letters B, 400 (1-2), 87.

This publication has 0 references indexed in Scilit: