Tetrahedron equations, boundary states and hidden structure of U_q(D_n^1)

Details Tetrahedron equations, boundary states and hidden structure of U_q(D_n^1) Tetrahedron equations, boundary states and hidden structure of U_q(D_n^1)

2008-11-26

arxiv.org/abs/0811.4452v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

4 pages

Scientific paper

Simple periodic 3d->2d compactification of the tetrahedron equations gives
the Yang-Baxter equations for various evaluation representations of U_q(sl_n).
In this paper we construct an example of fixed non-periodic 3d boundary
conditions producing a set of Yang-Baxter equations for U_q(D_n^1). These
boundary conditions resemble a fusion in hidden direction.

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