An Effective Superstring Spectral Action

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.

31 pages, Latex file

References in corpus (1)

• The Spectral Action Principle in Noncommutative Geometry and the Superstring

Cited by in corpus (10)

• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
• The Large N Limit of the (2,0) Superconformal Field Theory
• From Loop Space Mechanics to Nonabelian Strings
• Space-Time from the spectral point of view
• On deformations of 2d SCFTs
• Remarks on the Spectral Action Principle
• Electric-magnetic Duality in Noncommutative Geometry
• Covariant Hamiltonian evolution in supersymmetric quantum systems
• Spectral Geometry of Heterotic Compactifications