2 research outputs found
Fractional Supersymmetry As a Matrix Model
Using parafermionic field theoretical methods, the fundamentals of 2d
fractional supersymmetry are set up. Known difficulties
induced by methods based on the quantum group representations
and non commutative geometry are overpassed in the parafermionic approach.
Moreover we find that fractional supersymmetric algebras are naturally realized
as matrix models. The K=3 case is studied in details. Links between 2d
and fractional supersymmetries and N=2
U(1) and N=4 su(2) standard supersymmetries respectively are exhibited. Field
theoretical models describing the self couplings of the matter multiplets
and are given.Comment: Latex,no figure,17page
Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions
The operator content of the Baxter-Wu model with general toroidal boundary
conditions is calculated analytically and numerically. These calculations were
done by relating the partition function of the model with the generating
function of a site-colouring problem in a hexagonal lattice. Extending the
original Bethe-ansatz solution of the related colouring problem we are able to
calculate the eigenspectra of both models by solving the associated
Bethe-ansatz equations. We have also calculated, by exploring the conformal
invariance at the critical point, the mass ratios of the underlying massive
theory governing the Baxter-Wu model in the vicinity of its critical point.Comment: 32 pages latex, to appear in J. Phys. A: Math. Ge