Higher dimensional multiparameter unitary and nonunitary braid matrices: Even dimensions

A class of ( 2 n ) 2 × ( 2 n ) 2 multiparameter braid matrices are presented for all n ( n ⩾ 1 ) . Apart from the spectral parameter θ , they depend on 2 n 2 free parameters m i j ( ± ) , i , j = 1 , … , n . For real parameters, the matrices R ( θ ) are nonunitary. For purely imaginary parameters, t...

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Bibliographic Details
Published in:Journal of mathematical physics 2007-10, Vol.48 (10), p.103505-103505-6
Main Authors: Abdesselam, B., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Mathematics
Matrix
Parameter identification
Physics
Sciences and techniques of general use
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Summary:A class of ( 2 n ) 2 × ( 2 n ) 2 multiparameter braid matrices are presented for all n ( n ⩾ 1 ) . Apart from the spectral parameter θ , they depend on 2 n 2 free parameters m i j ( ± ) , 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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2793571