Higher Algebraic Structures and Quantization

Details Higher Algebraic Structures and Quantization Higher Algebraic Structures and Quantization

1992-12-18

arxiv.org/abs/hep-th/9212115v2

Commun.Math.Phys. 159 (1994) 343-398

Physics

High Energy Physics

High Energy Physics - Theory

62 pages + 16 figures (revised version). In this revision we make some small corrections and clarifications

Scientific paper

10.1007/BF02102643

We derive (quasi-)quantum groups in 2+1 dimensional topological field theory directly from the classical action and the path integral. Detailed computations are carried out for the Chern-Simons theory with finite gauge group. The principles behind our computations are presumably more general. We extend the classical action in a d+1 dimensional topological theory to manifolds of dimension less than d+1. We then ``construct'' a generalized path integral which in d+1 dimensions reduces to the standard one and in d dimensions reproduces the quantum Hilbert space. In a 2+1 dimensional topological theory the path integral over the circle is the category of representations of a quasi-quantum group. In this paper we only consider finite theories, in which the generalized path integral reduces to a finite sum. New ideas are needed to extend beyond the finite theories treated here.

Affiliated with

Also associated with

No associations

Rating

Higher Algebraic Structures and Quantization 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 Higher Algebraic Structures and Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Algebraic Structures and Quantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271563