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gr-qc2005
A Jordan GNS Construction for the Holonomy-Flux *-algebra
Michael Rios
The holonomy-flux *-algebra was recently proposed as an algebra of basic kinematical observables for loop quantum gravity. We show the conventional GNS construction breaks down whe…
hep-th2005★ 3 cited
Grassmann Variables in Jordan Matrix Models
Michael Rios
Here we demonstrate the emergence of Grassmann variables in matrix models based on the exceptional Jordan algebra. The Grassmann algebras are built naturally using the octonion alg…
math-ph2005★ 4 cited
The Geometry of Jordan Matrix Models
Michael Rios
We elucidate the geometry of matrix models based on simple formally real Jordan algebras. Such Jordan algebras give rise to a nonassociative geometry that is a generalization of Lo…