triality

There are three 8 dimensional representations-the vector, spinor and conjugate spinor, related by a symmetry called triality that can be seen to underlie the structure of the supersymmetry algebras between 8 and 11 dimensions.

Why 10 or 11? Sean 2006

There are three E_8's there which under a triality define as well an 8 + 3 = 11 dimensional space, which under this condition is compactified to 10.

Einstein Still Rules, Says Fermi Telescope Team | Universe Today 2009

Here we can see the second and third generations of matter now related to the first generation by a symmetry called "triality."

Garrett Lisi on his theory of everything 2008

Here we can see the second and third generations of matter now related to the first generation by a symmetry called "triality."

Garrett Lisi on his theory of everything 2008

Here we can see the second and third generations of matter now related to the first generation by a symmetry called "triality."

Garrett Lisi on his theory of everything 2008

The number three plays a most interesting role with the triality in group theories, such as the 3 + bar-3 long roots of SU (3) which have some connection to the three families of quarks.

Dark Matter: Still Dark. Julianne 2008

This is a triality structure, and what this exceptional group does is to put the Grassmannian (Fermionic) fields on the same frame bundle with the gauge fields.

A Dark, Misleading Force Sean 2007

But in Agni is found the first triality, which, philosophically, is interpreted as a trinity.

The Religions of India Handbooks on the History of Religions, Volume 1, Edited by Morris Jastrow Edward Washburn Hopkins 1894

In comparing the Açvins to other pairs [111] this dual nature is frequently referred to; but no less is there a triality in connection with them which often in describing them has been ignored.

The Religions of India Handbooks on the History of Religions, Volume 1, Edited by Morris Jastrow Edward Washburn Hopkins 1894

Eygar 15: 36, 1 November 2007 (EDT) (a) it's not Latin, it's Greek. (b) in the Greek idiom, there is not a duality of polar opposites, it is a triality, philia, phobia, and phagia -- attraction, repulsion, and consumption.

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