Supersymmetry and RCHO revisited


Townsend, P. (2021). Supersymmetry and RCHO revisited. Perimeter Institute for Theoretical Physics.


Townsend, Paul. Supersymmetry and RCHO revisited. Perimeter Institute for Theoretical Physics, Feb. 15, 2021,


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

Paul Townsend University of Cambridge

Source Repository PIRSA


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.