Algebra and Twisted Algebra in Toroidal Target Space

Details Algebra and Twisted Algebra in Toroidal Target Space Algebra and Twisted Algebra in Toroidal Target Space

1996-01-16

arxiv.org/abs/hep-th/9601079v2

Mod.Phys.Lett. A11 (1996) 1161-1168

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures, LaTeX; a small revision is made

Scientific paper

10.1142/S0217732396001193

Target space duality is reconsidered from the viewpoint of quantization in a space with nontrivial topology. An algebra of operators for the toroidal bosonic string is defined and its representations are constructed. It is shown that there exist an infinite number of inequivalent quantizations, which are parametrized by two parameters $ 0 \le s, t < 1 $. The spectrum exhibits the duality only when $ s = t $ or $ -t $ (mod 1). A deformation of the algebra by a central extension is also introduced. It leads to a kind of twisted relation between the zero mode quantum number and the topological winding number.

Affiliated with

Also associated with

No associations

Rating

Algebra and Twisted Algebra in Toroidal Target Space 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 Algebra and Twisted Algebra in Toroidal Target Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebra and Twisted Algebra in Toroidal Target Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-71333