Ja n 20 09 Particles in RSOS paths
نویسنده
چکیده
We introduce a new representation of the paths of the Forrester-Baxter RSOS models which represents the states of the irreducible modules of the minimal models M(p ′ , p). This representation is obtained by transforming the RSOS paths, for the cases p ≥ 2p ′ − 1, to new paths for which horizontal edges are allowed at certain heights. These new paths are much simpler in that their weight is nothing but the sum of the position of the peaks. This description paves the way for the interpretation of the RSOS paths in terms of fermi-type charged particles out of which the fermionic characters could be obtained constructively. The derivation of the fermionic character for p ′ = 2 and p = kp ′ ± 1 is outlined. Finally, the particles of the RSOS paths are put in relation with the kinks and the breathers of the restricted sine-Gordon model.
منابع مشابه
Particles in Rsos Paths
We introduce a new representation of the paths of the Forrester-Baxter RSOS models which represents the states of the irreducible modules of the minimal models M(p ′ , p). This representation is obtained by transforming the RSOS paths, for the cases p ≥ 2p ′ − 1, to new paths for which horizontal edges are allowed at certain heights. These new paths are much simpler in that their weight is noth...
متن کاملFermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models
We derive new finitized fermionic characters for the superconformal unitary minimal models by interpreting the RSOS configuration sums as fermi-gas partition functions. This extends to the supersymmetric case the method introduced by Warnaar for the Virasoro unitary mimimal models. The key point in this construction is the proper identification of fermi-type charged particles in terms of the pa...
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تاریخ انتشار 2009