---
date: 2021-10-23 21:57
modification date: Saturday 23rd October 2021 21:57:52
title: vertex algebra
aliases: [vertex algebra, vertex operator algebra, VOA]

---

Last modified date: <%+ tp.file.last_modified_date() %>

---

- Tags: 
	- #todo/untagged
- Refs:
	- E. Frenkel and D. Ben-Zvi - [Vertex Algebras and Algebraic Curves](https://math.berkeley.edu/~frenkel/BOOK/)
	- V. Kac - [Vertex Algebras for Beginners](https://www.amazon.co.uk/Vertex-Algebras-Beginners-University-Lecture/dp/082181396X)
	- P. Bouwknegt and K. Schoutens - [W-Symmetry in Conformal Field Theory](https://people.maths.ox.ac.uk/beem/teaching/VOA2017/hep-th/9210010)
- Links:
	- #todo/create-links 

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# vertex algebra

Vertex algebras are factorization algebras over curves (with more symmetry)

![](attachments/Pasted%20image%2020220713095831.png)

![](attachments/Pasted%20image%2020220713145417.png)

![](attachments/Pasted%20image%2020220713145529.png)

# Lattices

![](attachments/2023-03-04latticevoa.png)