New factorized S matrices associated with SO(N)

MacKay, N.J.

doi:10.1016/0550-3213(91)90384-A

New factorized S matrices associated with SO(N)

N.J. MacKay
(
- Santa Barbara, KITP
)

Oct, 1990

21 pages

Published in:

Nucl.Phys.B 356 (1991) 729-749

Published: 1991

DOI:

10.1016/0550-3213(91)90384-A

Report number:

NSF-ITP-90-170,
DTP-90-53

View in:

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Abstract: (Elsevier)

A method is presented for applying the fusion procedure for solutions of the rational Yang-Baxter equation to R -matrices acting in the vector representation of SO( N ). As an application, new R -matrices acting in symmetric representations of SO( N ) are calculated. R -matrices acting in reducible representations containing the antisymmetric representations of SO( N ) are calculated. These are used to construct factorized S -matrices giving the scattering of particles in the principal chiral model. Connections with affine Toda field theory are discussed.

S-matrix: factorization
Yang-Baxter equation: solution
algebra: fusion
symmetry: SO(N)
field theory: Toda
field theory: affine
group theory: representation

References(19)

Figures(0)

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