2010/10/15 by M. J. Duff, S. Ferrara · 31 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Coset #Cosmology and Gravitation Theories #Fano plane #Interpretation (philosophy) #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Pure mathematics #Scalar (mathematics) #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.83.046007
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 83(4) (American Physical Society) · 16 pages latex
arxiv created 2010/10/15 · openalex publication_date 2011/02/16 · arxiv updated 2011/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider four supergravities with 16+16, 32+32, 64+64, 128+128 degrees of freedom displaying some curious properties: (1) They exhibit minimal supersymmetry (N=1, 2, 2, 1) but maximal rank (r=7, 6, 4, 0) of the scalar coset in D=4, 5, 7, 11. (2) They couple naturally to supermembranes and admit these membranes as solutions. (3) Although the D=4, 5, 7 supergravities follow from truncating the maximally supersymmetric ones, there nevertheless exist M-theory compactifications with G2, SU(3), SU(2) holonomy having these supergravities as their massless sectors. (4) They reduce to N=1, 2, 4, 8 theories all with maximum rank 7 in D=4 which (5) correspond to 0, 1, 3, 7 lines of the Fano plane and hence admit a division algebra (ℝ,ℂ,ℍ,\mathbbO) interpretation consistent with the black-hole/qubit correspondence, (6) are generalized self-mirror, and hence (7) have a vanishing on-shell trace anomaly.