The mile high magic pyramid
OA Location
Author(s)
Type
Conference Paper
Abstract
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.
Editor(s)
Vojtechovsky, P
Bremner, MR
Carter, JS
Evans, AB
Huerta, J
Kinyon, MK
Moorhouse, GE
Smith, JDH
Date Issued
2019-01-01
Date Acceptance
2018-05-01
Citation
Contemporary Mathematics, 2019, 721, pp.1-27
ISSN
0271-4132
Publisher
American Mathematical Society
Start Page
1
End Page
27
Journal / Book Title
Contemporary Mathematics
Volume
721
Copyright Statement
© 2019 American Mathematical Society.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000473289600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Source
4th Mile High Conference on Nonassociative Mathematics
Subjects
DIVISION-ALGEBRAS
Mathematics
MAXWELL-EINSTEIN SUPERGRAVITY
Non-associative algebras
Physical Sciences
Science & Technology
SEXTONIONS
super Yang-Mills theory
supergravity
SUPERSYMMETRY
Publication Status
Published
Start Date
2017-07-29
Finish Date
2017-08-05
Coverage Spatial
Denver, CO, USA