Effective superstring spectral action

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.3555· OSTI ID:542336

Chamseddine, A H ^[1]

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1. Theoretische Physik, ETH-Zuerich, CH-8093 Zurich (Switzerland)

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 these tools to the N=1 supersymmetric nonlinear sigma model and derive an expression for the generalized loop space Dirac operator, in the 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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 542336
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
CANONICAL TRANSFORMATIONS
DIRAC EQUATION
DIRAC OPERATORS
FLUCTUATIONS
GEOMETRY
QUANTIZATION
SIGMA MODEL
SPECTRAL FUNCTIONS
SUPERSTRING MODELS
SUPERSYMMETRY