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7 papers · 1 filter
An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras
Katrina Barron, Yi-Zhi Huang, James Lepowsky
The problem of constructing twisted modules for a vertex operator algebra and an automorphism has been solved in particular in two contexts. One of these two constructions is that…
The moduli space of N=2 super-Riemann spheres with tubes
Katrina Barron
Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic N=2 superconformal field theory, we define the moduli space of N=2 super-Riema…
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules for generic weight to the case of general . We consider the relation…
Constructions of vertex operator coalgebras via vertex operator algebras
Keith Hubbard
The notion of vertex operator coalgebra is presented which corresponds to the family of correlation functions of one string propagating in space-time splitting into n strings in co…
The notion of vertex operator coalgebra and a geometric interpretation
Keith Hubbard
The notion of vertex operator coalgebra is presented and motivated via the geometry of conformal field theory. Specifically, we describe the category of geometric vertex operator c…
Cluster algebras and Weil-Petersson forms
Michael Gekhtman, Michael Shapiro, Alek Vainshtein
In our previous paper we have discussed Poisson properties of cluster algebras of geometric type for the case of a nondegenerate matrix of transition exponents. In this paper we co…