Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-07
J.Math.Phys. 36 (1995) 5340-5354
Physics
High Energy Physics
High Energy Physics - Theory
20 pages in plain TeX; uses macro harvmac
Scientific paper
10.1063/1.531266
A class of quantum chains possessing a family of local conserved charges with a Catalan tree pattern is studied. Recently, we have identified such a structure in the integrable $SU(N)$-invariant chains. In the present work we find sufficient conditions for the existence of a family of charges with this structure in terms of the underlying algebra. Two additional systems with a Catalan tree structure of conserved charges are found. One is the spin 1/2 XXZ model with $\Delta=-1$. The other is a new octonionic isotropic chain, generalizing the Heisenberg model. This system provides an interesting example of an infinite family of noncommuting local conserved quantities.
Grabowski Marek P.
Mathieu Pierre
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