5,659 research outputs found
Boson-fermion mapping of collective fermion-pair algebras
We construct finite Dyson boson-fermion mappings of general collective
algebras extended by single-fermion operators. A key element in the
construction is the implementation of a similarity transformation which
transforms boson-fermion images obtained directly from the supercoherent state
method. In addition to the general construction, we give detailed applications
to SO(2N), SU(l+1), SO(5), and SO(8) algebras.Comment: 22 pages, latex, no figure
On Problems of the Lagrangian Quantization of W3-gravity
We consider the two-dimensional model of W3-gravity within Lagrangian
quantization methods for general gauge theories. We use the Batalin-Vilkovisky
formalism to study the arbitrariness in the realization of the gauge algebra.
We obtain a one-parametric non-analytic extension of the gauge algebra, and a
corresponding solution of the classical master equation, related via an
anticanonical transformation to a solution corresponding to an analytic
realization. We investigate the possibility of closed solutions of the
classical master equation in the Sp(2)-covariant formalism and show that such
solutions do not exist in the approximation up to the third order in ghost and
auxiliary fields.Comment: 18 pages, no figure
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