Noncommutative Geometry, Strings and Duality

TL;DR

This paper explores how string theory can be modeled using noncommutative geometry, focusing on spectral triples and symmetries like target space duality, offering a geometric perspective on string symmetries.

Contribution

It introduces the spectral triple framework for string theory and discusses how key symmetries are represented within noncommutative geometry.

Findings

String theory can be formulated as a noncommutative geometric space.

Target space duality is interpreted as a symmetry in this framework.

Spectral triples provide a geometric structure for string algebra.

Abstract

In this talk, based on work done in collaboration with G. Landi and R.J Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is introduced, and some of the string symmetries, notably target space duality, are discussed in this framework.