5 papers
The Adapted Ordering Method in Representation Theory
Beatriz Gato-Rivera
In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras. This method, which proves to be very powerful, can be applied to mos…
Recent Results on N=2 Superconformal Algebras
Beatriz Gato-Rivera
In the last six years remarkable developments have taken place concerning the representation theory of N=2 superconformal algebras. Here we present the highlights of such developme…
A Note concerning Subsingular Vectors and Embedding Diagrams of the N=2 Superconformal Algebras
Beatriz Gato-Rivera
Subsingular vectors of the N=2 superconformal algebras were discovered, and examples given, in 1996. Shortly afterwards Semikhatov and Tipunin claimed to have obtained a complete c…
Construction Formulae for Singular Vectors of the Topological N=2 Superconformal Algebra
Beatriz Gato-Rivera
The Topological N=2 Superconformal algebra has 29 different types of singular vectors (in complete Verma modules) distinguished by the relative U(1) charge and the BRST-invariance…
Topological Theories from Virasoro Constraints on the KP Hierarchy
Beatriz Gato-Rivera, Jose Ignacio Rosado
A conformal field theory can be recovered, via the Kontsevich-Miwa transform, as a solution to the Virasoro constraints on the KP tau function. That theory, which we call KM CFT, c…