Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity

Details Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity

2003-06-26

arxiv.org/abs/hep-th/0306261v2

Class.Quant.Grav. 21 (2004) 145-162

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 5 figures

Scientific paper

10.1088/0264-9381/21/1/010

This paper explores the use of a deformation by a root of unity as a tool to build models with a finite number of states for applications to quantum gravity. The initial motivation for this work was cosmological breaking of supersymmetry. We explain why the project was unsuccessful. What is left are some observations on supersymmetry for q-bosons, an analogy between black holes in de Sitter and properties of quantum groups, and an observation on a noncommutative quantum mechanics model with two degrees of freedom, depending on one parameter. When this parameter is positive, the spectrum has a finite number of states; when it is negative or zero, the spectrum has an infinite number of states. This exhibits a desirable feature of quantum physics in de Sitter space, albeit in a very simple, non-gravitational context.

Affiliated with

Also associated with

No associations

Rating

Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity 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 Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Number of States, de Sitter Space and Quantum Groups at Roots of Unity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187272