Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.

Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

Authors

Description

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