2 research outputs found
W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach
It is shown that the notion of W_\infty-algebra originally carried out over a
(compact) Riemann surface can be extended to n complex dimensional (compact)
manifolds within a symplectic geometrical setup. The relationships with the
Kodaira-Spencer deformation theory of complex structures are discussed.
Subsequently, some field theoretical aspects at the classical level are briefly
underlined.Comment: LaTex, 20 pages, no figures, version to be published in Journ. Math.
Phy
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