79 citations · 79 across the 2 of their papers we have counts for
10 papers · 1 filter
Shifted Vertex Operator Algebras
Chongying Dong, Geoffrey Mason
We study the properties of shifted vertex operator algebras, which are vertex algebras derived from a given theory by shifting the conformal vector. In this way, we are able to exh…
Central Invariants and Frobenius-Schur Indicators for Semisimple Quasi-Hopf Algebras
Geoffrey Mason, Siu-Hung Ng
In this paper, we obtain a canonical central element for each semi-simple quasi-Hopf algebra over any field and prove that is invariant under gauge transformati…
Holomorphic Vertex Operator Algebras of Small Central Charges
C. Dong, G. Mason
We provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens.…
Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras
Yevgenia Kashina, Geoffrey Mason, Susan Montgomery
In this paper we show that for an important class of non-trivial Hopf algebras, the Schur indicator is a computable invariant. The Hopf algebras we consider are all abelian extensi…
Vertex Lie algebras, vertex Poisson algebras and vertex algebras
C. Dong, H. Li, G. Mason
The notions of vertex Lie algebra and vertex Poisson algebra are presented and connections among vertex Lie algebras, vertex Poisson algebras and vertex algebras are discussed.
Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras
Chongying Dong, Geoffrey Mason, Kiyokazu Nagatomo
We study graded traces of vectors in free bosonic vertex operator algebras and lattice vertex operator algebras. We show in particular that trace functions in these two theories al…