Exceptional symmetries in light-cone superspace

Autor: Ananth, Sudarshan, Bhave, Nipun
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We construct maximal supergravity in five-dimensions by 'oxidizing' the four-dimensional $\mathcal{N}=8$ theory. The relevant symmetries, the unitary symplectic group $USp(8)$ and the exceptional group $E_6$, are both presented in light-cone superspace and their connections with $SU(8)$ and $E_7$ highlighted. We explain a procedure to derive higher-point interaction vertices in both the 4- and 5-dimensional supergravity theories using exclusively the exceptional symmetries. Specific forms for the quartic and quintic interaction vertices in light-cone superspace are derived.
Comment: 17 pages, 2 figures, minor edits, references added
Databáze: arXiv