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.
REFERENCES
1.
2.
E.
Sezgin
, Super Yang-Mills in (11,3) Dimensions
, Phys. Lett. B
403
265
–272
(1997
), arXiv:hep-th/9703123.3.
4.
A.
Marrani
, P.
Truini
, Exceptional Lie Algebras at the very Foundations of Space and Time
, V.S. Varadarajan, UCLA Department of Mathematics, November 7-9th (2014
), arXiv:1506.08576 [hep-th].5.
P.
Truini
, M.
Rios
, A.
Marrani
, The Magic Star of Exceptional Periodicity
, To be published in AMS proceedings of the 4th Mile High Conference on Nonassociative Mathematics University of Denver
, Denver, Colorado, USA
, July 29-August 5th (2017
), arXiv:1711.07881 [hep-th].6.
H.
Nishino
, Supersymmetric Yang-Mills Theories in D12
, Nucl. Phys. B
523
450
–464
(1998
), arXiv:hep-th/9708064.7.
T.
Banks
, W.
Fischler
, S.H.
Shenker
, L.
Susskind
, M Theory As A Matrix Model: A Conjecture
, Phys. Rev. D
55
: 5112
–5128
(1997
), arXiv:hep-th/9610043.8.
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