Topology change for fuzzy physics: Fuzzy spaces as Hopf algebras

Date

2004-08-10

Author

BALACHANDRAN, AP
Kürkcüoğlu, Seçkin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

2
views

2
downloads

Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy spheres emerge from quantizing S-2 and are associated with the group SU(2) in this manner. They are useful for regularizing quantum field theories and modeling space-times by noncommutative manifolds. We show that fuzzy spaces are Hopf algebras and in fact have more structure than the latter. They are thus candidates for quantum symmetries. Using their generalized Hopf algebraic structures, we can also model processes where one fuzzy space splits into several fuzzy spaces. For example we can discuss the quantum transition where the fuzzy sphere for angular momentum J splits into fuzzy spheres for angular momenta K and L.

Subject Keywords

Nuclear and High Energy Physics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics

URI

https://hdl.handle.net/11511/35054

Collections

Department of Physics, Article