Michael Rios (2019)

Bars, Sezgin and Nishino have proposed super Yang-Mills theory in D = 12 and beyond. Here we consider M-theory in signature (10,1) as a reduction of signature (10,2), using a projection of 𝔢8(−24) along b2. The projection gives a visual decomposition of 𝔢8(−24) that makes the vector of 𝔰𝔬(10, 2) and its spinor manifest. Reduction along a time direction yields an 𝔰𝔬(10, 1) invariant subspace that we associate with the spacetime of D = 11 M-theory.