Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-28
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, Proceedings of the Corfu Summer Institute 2011 "School and Workshops on Elementary Particle Physics and Gravity", Se
Scientific paper
The rank-three tensor models, which have a rank-three tensor as their only dynamical variable, may be interpreted as models of dynamical fuzzy spaces. In this interpretation, the generalized Hermiticity condition on the rank-three tensor leads to a cyclic property of the algebra of functions on fuzzy spaces. The fuzzy spaces with the cyclic property are shown to have various physically interesting characteristics. (i) Although the function algebras of the kind are nonassociative in general, various properties analogous to quantum mechanics hold on the fuzzy spaces. (ii) The symmetry of the rank-three tensor models can be shown to be represented systematically by n-ary transformations on the fuzzy spaces. The transformations contain, for instance, diffeomorphism on fuzzy spaces. (iii) There exists a systematic procedure of truncating the function algebras of the kind, and it can be used to consider subspaces, compactifications, lattice theories, and coarsegraining procedures of fuzzy spaces in physical applications.
No associations
LandOfFree
Fuzzy spaces from tensor models, cyclicity condition, and n-ary algebras 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 Fuzzy spaces from tensor models, cyclicity condition, and n-ary algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fuzzy spaces from tensor models, cyclicity condition, and n-ary algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-271929