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 -