Exceptional Supergravity Theories and the MAGIC Square
Aug, 1983
5 pages
Published in:
- Phys.Lett.B 133 (1983) 72-76
- Published: 1983
Report number:
- LPTENS 83/31
Citations per year
Abstract: (Elsevier)
We derive the magic square of Freudenthal, Rozenfeld, and Tits from the geometry of a special class of N =2 Maxwell-Einstein supergravity theories. We also show that all of these theories are obtainable by truncation of N =8 supergravity theories in various spacetime dimensions d , except for an “exceptional” subclass, unique for a given d , which is associated with with the exceptional Jordan algebra of 3 × 3 hermitian octonionic matrices.- SUPERGRAVITY
- Einstein-Maxwell equation
- FIELD THEORY: THREE-DIMENSIONAL
- FIELD THEORY: FOUR-DIMENSIONAL
- FIELD THEORY: FIVE-DIMENSIONAL
- GROUP THEORY: group: exceptional
- ALGEBRA: JORDAN
References(9)
Figures(0)