# The Higher Algebra of Supersymmetry

### APA

Huerta, J. (2021). The Higher Algebra of Supersymmetry. Perimeter Institute. https://pirsa.org/21030015

### MLA

Huerta, John. The Higher Algebra of Supersymmetry. Perimeter Institute, Mar. 29, 2021, https://pirsa.org/21030015

### BibTex

@misc{ pirsa_PIRSA:21030015, doi = {10.48660/21030015}, url = {https://pirsa.org/21030015}, author = {Huerta, John}, keywords = {Mathematical physics, Particle Physics, Quantum Fields and Strings}, language = {en}, title = {The Higher Algebra of Supersymmetry}, publisher = {Perimeter Institute}, year = {2021}, month = {mar}, note = {PIRSA:21030015 see, \url{https://pirsa.org}} }

University of Lisbon

**Collection**

Talk Type

Abstract

We have already met the octonionic Fierz identity satisfied by spinors in 10-dimensional spacetime. This identity makes super-Yang-Mills "super" and allows the Green-Schwarz string to be kappa symmetric. But it is also the defining equation of a "higher" algebraic structure: an L-infinity algebra extending the supersymmetry algebra. We introduce this L-infinity algebra in octonionic language, and describe its cousins in various dimensions. We then survey various consequences of its existence, such as the brane bouquet of Fiorenza-Sati-Schreiber.