Takayoshi Ootsuka et al 2004 Class. Quantum Grav. 21 975 doi:10.1088/0264-9381/21/4/017
Takayoshi Ootsuka1, Erico Tanaka1 and Kousuke Ura2
Show affiliationsWe construct a chiral theory of gravity in seven and eight dimensions, which is equivalent to Einstein–Cartan theory using fewer variables. In these dimensions, we can construct such higher-dimensional chiral gravity because of the existence of the gravitational instanton. The octonionic-valued variables in the theory represent the deviation from the gravitational instanton, and from their non-associativity, prevent the theory being SO(n) gauge invariant. Still the chiral gravity holds G2 (7D), and spin(7) (8D) gauge symmetry.
04.50.-h Higher-dimensional gravity and other theories of gravity
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)
Issue 4 (21 February 2004)
Received 12 October 2003
Published 14 January 2004
Takayoshi Ootsuka et al 2004 Class. Quantum Grav. 21 975
C Pennetta et al 2001 J. Phys. D: Appl. Phys. 34 1421
G Cunge et al 2004 Plasma Sources Sci. Technol. 13 522
I Gamboa-deBuen et al 1998 Phys. Med. Biol. 43 2073
Wen-bin Fan et al 2006 Nanotechnology 17 1878
Sang-Seok Lee et al 2005 J. Micromech. Microeng. 15 441
Zhang Yong-Gang et al 2003 Chinese Phys. Lett. 20 678
A B Smith and D Schmidt 1997 J. Phys. G: Nucl. Part. Phys. 23 197
P K C Pillai et al 1983 J. Phys. D: Appl. Phys. 16 393
C G Sumner 1930 J. Sci. Instrum. 7 398