Chiral gravity in higher dimensions

Details Chiral gravity in higher dimensions Chiral gravity in higher dimensions

2003-10-08

arxiv.org/abs/gr-qc/0310047v2

Class.Quant.Grav. 21 (2003) 975-985

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, no figures. Minor typos corrected. Updated references

Scientific paper

10.1088/0264-9381/21/4/017

We construct a chiral theory of gravity in 7 and 8 dimensions, which are equivalent to Einstein-Cartan theory using less variables. In these dimensions, we can construct such higher dimensional chiral gravity because of the existence of gravitational instanton. The octonionic-valued variables in the theory represent the deviation from the gravitational instanton, and from their non-associativity, prevents the theory to be SO(n) gauge invariant. Still the chiral gravity holds G_2 (7-D), and Spin(7) (8-D) gauge symmetry.

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