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A Grassmannian is the space of all linear subspaces of another linear space; it is related to projective spaces.
The Reference Frame 2010
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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
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One example that I do understand, since I’ve read the paper many times, is Hori and Tong’s “proof” of Rodland’s Conjecture: that the Pfaffian in the Grassmannian G (2,7) lives on the same kahler moduli space as a hypersurface Calabi Yau in a Grassmannian.
What is String Theory Good For (Part I)? « Imaginary Potential 2008
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