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 E7(-25)/[(E6(-78) × U(1))/ℤ3], occurring in supergravity as the vector multiplets' scalar manifold in N = 2, 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. © 2013 International Press.

Magic coset decompositions

CACCIATORI, SERGIO LUIGI;
2013-01-01

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 E7(-25)/[(E6(-78) × U(1))/ℤ3], occurring in supergravity as the vector multiplets' scalar manifold in N = 2, 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. © 2013 International Press.
2013
http://intlpress.com/site/pub/files/_fulltext/journals/atmp/2013/0017/0005/ATMP-2013-0017-0005-a004.pdf
Physics and Astronomy (all); Mathematics (all)
Cacciatori, SERGIO LUIGI; Cerchiai, Bianca L.; Marrani, Alessio
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2058119
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 13
social impact