# nLab W algebra

## Idea

A W algebra is a higher spin extension of the Virasoro algebra. It is an extended symmetry algebra in conformal field theory.

## References

An early survey is

Relation to Jordan algebra is discussed in

• L. J. Romans, Realisations of classical and quantum $W_3$ symmetry, Nuclear Physics B 352:3 (1991) 829–848 doi

Relation to L-infinity algebras is discussed in

• Ralph Blumenhagen, Michael Fuchs, Matthias Traube, $\mathcal{W}$-Algebras are $L_\infty$-algebras (arXiv:1705.00736)
category: physics, algebra

Last revised on October 12, 2022 at 11:24:30. See the history of this page for a list of all contributions to it.