Translator Disclaimer
October 2013 Magic coset decompositions
Sergio L. Cacciatori, Bianca L. Cerchiai, Alessio Marrani
Adv. Theor. Math. Phys. 17(5): 1077-1128 (October 2013).

Abstract

By exploiting a "mixed" non-symmetric Freudenthal-Rozenfeld-Tits magic square, two types of coset decompositions are analyzed for the non-compact special Kähler symmetric rank-3 coset $E_{7(-25)}/ [(E_{6(-78)} \times U(1)) / \mathbb{Z}_3]$, occurring in supergravity as the vector multiplets'scalar manifold in $\mathcal{N} = 2, \mathcal{D} = 4$ exceptional Maxwell-Einstein theory. The first decomposition exhibits maximal manifest covariance, whereas the second (triality-symmetric) one is of Iwasawa type, with maximal $SO(8)$ covariance. Generalizations to conformal non-compact, real forms of nondegenerate, simple groups "of type E7" are presented for both classes of coset parametrizations, and relations to rank-3 simple Euclidean Jordan algebras and normed trialities over division algebras are also discussed.

Citation

Download Citation

Sergio L. Cacciatori. Bianca L. Cerchiai. Alessio Marrani. "Magic coset decompositions." Adv. Theor. Math. Phys. 17 (5) 1077 - 1128, October 2013.

Information

Published: October 2013
First available in Project Euclid: 21 August 2014

zbMATH: 1295.81135
MathSciNet: MR3262520

Rights: Copyright © 2013 International Press of Boston

JOURNAL ARTICLE
52 PAGES


SHARE
Vol.17 • No. 5 • October 2013
Back to Top