 Chiral decomposition of the complex Lorentz algebra

ID: chiral-decomposition-of-the-complex-lorentz-algebra

Codex  0 Created 2026-09-24 Updated 2026-09-24

A_{i} = (J_{i} + i K_{i}) /2

and

B_{i} = (J_{i} - i K_{i}) /2

generate commuting copies of

sl_{2} (C)

so (1, 3)_{C} ≅ sl_{2} (C) \oplus sl_{2} (C) .

(j_{L}, j_{R})

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