PIRSA:21020009 Conference Mathematical physics Particle Physics Quantum Fields and Strings

DOI10.48660/21020009

Conference/School: Octonions and the Standard Model

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

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

@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}}
}

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.

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