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Topology change for fuzzy physics: Fuzzy spaces as Hopf algebras
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Date
2004-08-10
Author
BALACHANDRAN, AP
Kürkcüoğlu, Seçkin
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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
Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
DOI
https://doi.org/10.1142/s0217751x04019810
Collections
Department of Physics, Article
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BibTeX
A. BALACHANDRAN and S. Kürkcüoğlu, “Topology change for fuzzy physics: Fuzzy spaces as Hopf algebras,”
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
, vol. 19, no. 20, pp. 3395–3407, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35054.