# nLab 2d SCFT

### Context

#### Quantum field theory

functorial quantum field theory

supersymmetry

# Contents

## Idea

Super-conformal field theory in dimension $d = 2$, locally given by a super vertex operator algebra.

For central charge 15 this is the worldsheet theory of the superstring.

May be regarded as a “2-spectral triple” (see there for more), the 2-dimensional generalization of spectral triples describing the quantum mechanics of spinning particles (super-particles).

## References

### General

A basic but detailed exposition focusing on the super-WZW model (and the perspective of 2-spectral triples) is in Fröhlich Gawedzki 93

Other accounts include

### Relation to 2-spectral triples

Discussion of 2d SCFTs as a higher analog of spectral triples (“2-spectral triples”, see there for more) is in terms of vertex operator algebras in

and in terms of conformal nets in

Last revised on December 1, 2017 at 03:37:37. See the history of this page for a list of all contributions to it.