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math-ph2026
The Standard Model Gauge Group from the Exceptional Jordan Algebra
John C. Baez, Paul Schwahn
We construct the Standard Model gauge group using the exceptional Jordan algebra and its automorphism group . The group acts o…
math.DG2026
Geometries with parallel, skew-symmetric and closed torsion
Andrei Moroianu, Paul Schwahn
We study Riemannian manifolds carrying a metric connection with parallel, skew-symmetric and closed torsion, which we call in short PSCT manifolds. We prove that PSCT manifolds alw…
math.RT2026
Balanced subsets in root systems
Andrei Moroianu, Paul Schwahn
Balanced and well-balanced subsets of the set of positive roots of compact Lie algebras arise naturally in problems related to Hermitian and spin geometry. In this paper we compute…