TY - GEN
T1 - The mile high magic pyramid
AU - Anastasiou, A.
AU - Borsten, L.
AU - Duff, M. J.
AU - Marrani, A.
AU - Nagy, S.
AU - Zoccali, M.
N1 - Funding Information:
17C60. Key words and phrases. Non-associative algebras, supergravity, super Yang-Mills theory. The work of LB was supported by a Schrödinger Fellowship. MJD is grateful to the Leverhulme Trust for an Emeritus Fellowship. This work was supported in part by the STFC under rolling grant ST/P000762/1. ∗Lecture delivered by MJD at the 4th Mile High Conference on Nonassociative Mathematics University of Denver, Denver, Colorado, USA, July 29-August 5, 2017.
Funding Information:
The work of LB was supported by a Schr?dinger Fellowship. MJD is grateful to the Leverhulme Trust for an Emeritus Fellowship. This work was supported in part by the STFC under rolling grant ST/P000762/1.? Lecture delivered by MJD at the 4th Mile High Conference on Nonassociative Mathematics University of Denver, Denver, Colorado, USA, July 29-August 5, 2017.
Publisher Copyright:
© 2019 American Mathematical Society.
PY - 2019
Y1 - 2019
N2 - . Using a unified formulation of N = 1, 2, 4, 8, super Yang-Mills theories in D = 3 spacetime dimensions with fields valued respectively in R, C, H, O, it was shown that tensoring left and right multiplets yields a Freudenthal magic square of D = 3 supergravities. When tied in with the more familiar R, C, H, O description of super Yang-Mills in D = 3, 4, 6, 10 this results in a magic pyramid of supergravities: the known 4 × 4 magic square at the base in D = 3, a 3 × 3 square in D = 4, a 2 × 2 square in D = 6 and Type II supergravity at the apex in D = 10.
AB - . Using a unified formulation of N = 1, 2, 4, 8, super Yang-Mills theories in D = 3 spacetime dimensions with fields valued respectively in R, C, H, O, it was shown that tensoring left and right multiplets yields a Freudenthal magic square of D = 3 supergravities. When tied in with the more familiar R, C, H, O description of super Yang-Mills in D = 3, 4, 6, 10 this results in a magic pyramid of supergravities: the known 4 × 4 magic square at the base in D = 3, a 3 × 3 square in D = 4, a 2 × 2 square in D = 6 and Type II supergravity at the apex in D = 10.
KW - Non-associative algebras
KW - Super Yang-Mills theory
KW - Supergravity
UR - http://www.scopus.com/inward/record.url?scp=85081351918&partnerID=8YFLogxK
U2 - 10.1090/conm/721/14497
DO - 10.1090/conm/721/14497
M3 - Conference contribution
AN - SCOPUS:85081351918
SN - 9781470442453
T3 - Contemporary Mathematics
SP - 1
EP - 27
BT - Nonassociative Mathematics and its Applications
A2 - Vojtechovský, Petr
A2 - Bremner, Murray R.
A2 - Scott Carter, J.
A2 - Evans, Anthony B.
A2 - Huerta, John
A2 - Kinyon, Michael K.
A2 - Eric Moorhouse, G.
A2 - Smith, Jonathan D.H.
PB - American Mathematical Society
T2 - 4th Mile High Conference on Nonassociative Mathematics, 2017
Y2 - 29 July 2017 through 5 August 2017
ER -