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Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions (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.. Comment: 07 pages

Publication details
Download http://arxiv.org/abs/0706.2787
Repository arXiv (United States)
Keywords Mathematics - Quantum Algebra, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory
Type text