# Shifted vertex operator algebras

@article{Dong2006ShiftedVO, title={Shifted vertex operator algebras}, author={Chongying Dong and Geoffrey Mason}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, year={2006}, volume={141}, pages={67 - 80} }

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 exhibit large numbers of vertex operator algebras which are regular (rational and $C_2$-cofinite) and yet are pathological in one way or another.

## 30 Citations

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- Mathematics
- 2014

We prove a sharpened version of a conjecture of Dong–Mason about lattice subalgebras of a strongly regular vertex operator algebra V, and give some applications. These include the existence of a…

### 71 holomorphic vertex operator algebras of central charge 24

- MathematicsBulletin of the Institute of Mathematics Academia Sinica NEW SERIES
- 2019

In this article, we give a survey on the recent progress towards the classification of strongly regular holomorphic vertex operator algebras of central charge 24. In particular, we review the…

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### Jacobi trace functions in the theory of vertex operator algebras

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- 2013

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- Mathematics
- 2016

In this thesis we develop an orbifold theory for a finite, cyclic group $G$ acting on a suitably regular, holomorphic vertex operator algebra $V$. To this end we describe the fusion algebra of the…

### Integrability of C2-cofinite vertex operator algebras

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- 2006

The following integrability theorem for vertex operator algebras V satisfying some finiteness conditions (C2-cofinite and CFT-type) is proved: the vertex operator subalgebra generated by a simple Lie…

### On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow

- MathematicsJournal of Mathematical Physics
- 2022

Using the Zhu algebra for a certain category of [Formula: see text]-graded vertex algebras V, we prove that if V is finitely Ω-generated and satisfies suitable grading conditions, then V is rational,…

### On rationality of $\mathbb{C}$-graded vertex algebras and applications to Weyl vertex algebras under conformal flow

- Mathematics
- 2022

. Using the Zhu algebra for a certain category of C -graded vertex algebras V , we prove that if V is ﬁnitely Ω -generated and satisﬁes suitable grading conditions, then V is rational, i.e. has…

### Character vectors of strongly regular vertex operator algebras

- Mathematics
- 2021

We summarize interactions between vertex operator algebras and number theory through the lens of Zhu theory. The paper begins by recalling basic facts on vertex operator algebras (VOAs) and modular…

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