Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-22
Chaos Solitons Fractals 10:445-458,1999
Physics
High Energy Physics
High Energy Physics - Theory
17 pages LaTeX; Invited paper to appear in the special issue of the Journal of Chaos, Solitons and Fractals on "Superstrings,
Scientific paper
10.1016/S0960-0779(98)00085-X
We illustrate the various ways in which the algebraic framework of noncommutative geometry naturally captures the short-distance spacetime properties of string theory. We describe the noncommutative spacetime constructed from a vertex operator algebra and show that its algebraic properties bear a striking resemblence to some structures appearing in M Theory, such as the noncommutative torus. We classify the inner automorphisms of the space and show how they naturally imply the conventional duality symmetries of the quantum geometry of spacetime. We examine the problem of constructing a universal gauge group which overlies all of the dynamical symmetries of the string spacetime. We also describe some aspects of toroidal compactifications with a light-like coordinate and show how certain generalized Kac-Moody symmetries, such as the Monster sporadic group, arise as gauge symmetries of the resulting spacetime and of superstring theories.
Lizzi Fedele
Szabo Richard J.
No associations
LandOfFree
Noncommutative Geometry and Spacetime Gauge Symmetries of String Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Noncommutative Geometry and Spacetime Gauge Symmetries of String Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Geometry and Spacetime Gauge Symmetries of String Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516988