# Supersymmetry and RCHO revisited

### APA

Townsend, P. (2021). Supersymmetry and RCHO revisited. Perimeter Institute. https://pirsa.org/21020009

### MLA

Townsend, Paul. Supersymmetry and RCHO revisited. Perimeter Institute, Feb. 15, 2021, https://pirsa.org/21020009

### BibTex

@misc{ pirsa_PIRSA:21020009, doi = {10.48660/21020009}, url = {https://pirsa.org/21020009}, author = {Townsend, Paul}, keywords = {Mathematical physics, Particle Physics, Quantum Fields and Strings}, language = {en}, title = {Supersymmetry and RCHO revisited}, publisher = {Perimeter Institute}, year = {2021}, month = {feb}, note = {PIRSA:21020009 see, \url{https://pirsa.org}} }

University of Cambridge

**Collection**

Talk Type

Abstract

Various links between supersymmetry and the normed division algebras
R,C,H,O were found in the
1980s. This talk will focus on the link between K=R,C,H,0 and
supersymmetric field theories in a Minkowski spacetime of dimension
D=3,4,6,10. The first half will survey the history starting with a
1944/5 paper of Dirac and heading towards the links found in 1986/7
between R,C,H,O and super-Yang-Mills theories. The second half will
review a result from 1993 that connects, via a twistor-type transform,
the superfield equations of super-Maxwell theory in D=3,4,6,10 to a
K-chirality constraint on a K-valued worldline superfield of N=1,2,4,8
worldline supersymmetry. This provide an explicit connection of
octonions to the free-field D=10 super-Maxwell theory.