Noncommutative Geometry and String Duality
Abstract
A review of the applications of noncommutative geometry to a systematic formulation of duality symmetries in string theory is presented. The spectral triples associated with a lattice vertex operator algebra and the corresponding Dirac-Ramond operators are constructed and shown to naturally incorporate target space and discrete worldsheet dualities as isometries of the noncommutative space. The target space duality and diffeomorphism symmetries are shown to act as gauge transformations of the geometry. The connections with the noncommutative torus and Matrix Theory compactifications are also discussed.
Cite
@article{arxiv.hep-th/9904064,
title = {Noncommutative Geometry and String Duality},
author = {Fedele Lizzi and Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/9904064},
year = {2007}
}
Comments
17 pages, Latex2e, uses JHEP.cls (included); Based on talk given by the first author at the 6th Hellenic School and Workshop on Elementary Particle Physics, Corfu, Greece, September 6-26 1998. To be published in JHEP proceedings