31 citations · 114 across the 6 of their papers we have counts for
6 papers
Determinant Formula for the Topological N=2 Superconformal Algebra
Matthias Doerrzapf, Beatriz Gato-Rivera
The Kac determinant for the Topological N=2 superconformal algebra is presented as well as a detailed analysis of the singular vectors detected by the roots of the determinants. In…
Singular dimensions of the N=2 superconformal algebras II: the twisted N=2 algebra
Matthias Doerrzapf, Beatriz Gato-Rivera
We introduce a suitable adapted ordering for the twisted N=2 superconformal algebra (i.e. with mixed boundary conditions for the fermionic fields). We show that the ordering kernel…
Singular dimensions of the N=2 superconformal algebras. I
Matthias Doerrzapf, Beatriz Gato-Rivera
Verma modules of superconfomal algebras can have singular vector spaces with dimensions greater than 1. Following a method developed for the Virasoro algebra by Kent, we introduce…
The embedding structure of unitary N=2 minimal models
Matthias Doerrzapf
We derive the embedding structure of unitary N=2 minimal models and show as a result that these representations have a degeneration of uncharged singular states. This corrects some…
Transmutations between Singular and Subsingular Vectors of the N=2 Superconformal Algebras
Matthias Doerrzapf, Beatriz Gato-Rivera
We present subsingular vectors of the N=2 superconformal algebras other than the ones which become singular in chiral Verma modules, reported recently by Gato-Rivera and Rosado. We…
Analytic Expressions for Singular Vectors of the Superconformal Algebra
Matthias Doerrzapf
Using explicit expressions for a class of singular vectors of the (untwisted) algebra and following the approach of Malikov-Feigin-Fuchs and Kent, we show that the analytical…