Abstract
Some time ago, Bars found supersymmetry and Sezgin proposed super Yang-Mills theory (SYM) in . Using the “magic star” projection of , we show that the geometric structure of SYM’s in and space-time dimensions descends to the affine symmetry of the space . By reducing to transverse transformations along maximal embeddings, the near-horizon geometries of the M2 brane () and M5 brane () of M-theory are recovered. Utilizing the recently introduced “exceptional periodicity” (EP) and exploiting the embedding of semisimple rank-3 Jordan algebras into rank-3 T-algebras of special type yields the spaces and with reduced subspaces and , respectively. As such, EP describes the near-horizon geometries of an infinite class of novel exceptional SYM’s in dimensions that generalize M-theory for . Remarkably, the level hints at M2 and M21 branes as solutions of bosonic M-theory and gives support for Witten’s monstrous AdS/CFT construction.
- Received 26 November 2018
DOI:https://doi.org/10.1103/PhysRevD.99.046004
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society