Spacetime is for SU(2)

2010/01/09 by Richard Shurtleff, Shurtleff, Richard
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1001.1425

12 pages

Abstract

The generators of rotations, boosts and translations are built up based on the commutation and anticommutation relations of the fundamental two dimensional representation of SU(2). Rotations in spacetime derive from the commutation relations of SU(2). Boosts derive from the anticommutation relations of SU(2).

Related

• A Spacetime for SU(3)
• A Spacetime for SU(N)
• Space Rotation Invariance
• Rotations and e, ν Propagators, Part III
• (1,9)-spacetime --> (1,3)-spacetime: Reduction => U(1)xSU(2)xSU(3)