Back to Search Start Over

Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

Authors :
Abdesselam, B.
Chakrabarti, A.
Dobrev, V. K.
Mihov, S. G.
Source :
J.Math.Phys.48:103505,2007
Publication Year :
2007

Abstract

A class of $(2n)^2\times(2n)^2$ multiparameter braid matrices are presented for all $n$ $(n\geq 1)$. Apart from the spectral parameter $\theta$, they depend on $2n^2$ free parameters $m_{ij}^{(\pm)}$, $i,j=1,...,n$. For real parameters the matrices $R(\theta)$ are nonunitary. For purely imaginary parameters they became unitary. Thus a unification is achieved with odd dimensional multiparameter solutions presented before.<br />Comment: 07 pages

Details

Database :
arXiv
Journal :
J.Math.Phys.48:103505,2007
Publication Type :
Report
Accession number :
edsarx.0706.2787
Document Type :
Working Paper
Full Text :
https://doi.org/10.1063/1.2793571