Back to Search
Start Over
A combing algorithm for orientable braided 3-belts.
- Source :
-
Journal of Mathematical Physics . Nov2019, Vol. 60 Issue 11, pN.PAG-N.PAG. 6p. - Publication Year :
- 2019
-
Abstract
- The Helon model identifies standard model quarks and leptons with framed braids composed of three ribbons joined together at both ends by a connecting node (disk). These surfaces with boundary are called braided 3-belts. The twisting and braiding of ribbons composing braided 3-belts are interchangeable, and any braided 3-belt can be written in a pure twist form with trivial braiding, specified by a vector of three multiples of half integers [a, b, c], a topological invariant. This paper identifies the set of braided 3-belts that can be written in a braid only form in which all twisting is eliminated instead. For these braids, an algorithm to calculate the braid word is determined which allows the braid word of every braided 3-belt to be written in a canonical form. It is furthermore demonstrated that the set of braided 3-belts does not form a group due to a lack of isogeny. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL property
*QUARK models
*INVARIANTS (Mathematics)
*BRAID
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 60
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 140030906
- Full Text :
- https://doi.org/10.1063/1.5055046