Manuscript XVI-M@1 · XVI-M.tex · proposition · 7346c909

Proposition: so(1,3) action on B N and on W N

M.7 Covariance and Ward-compatibility constraints · lines 1910–1914

XVI-M@1#prop:M7-rho

For each $N = 0, \dots, 4$ the maps $ρ_{N} (X)$ on $B_{N}$ and $ρ^{δ}_{N} (X)$ on ${\partial_{γ} δ}$ define Lie-algebra homomorphisms (in particular $[ρ (K_{01}), ρ (K_{02})] = ρ (J_{12})$ for both). The $N = 0$ action on $B_{0}$ is trivial.

Nearby in this section

section: M.7 Covariance and Ward-compatibility constraints
proposition: Proposition: Boost verification on μδ ; exact
section: M.7 Covariance and Ward-compatibility constraints
theorem: Theorem: Equivariant contact assignments
section: M.7 Covariance and Ward-compatibility constraints
proposition: Proposition: Equivariant SA, exact; Gate V
section: M.7 Covariance and Ward-compatibility constraints
proposition: Proposition: Linear divergence identities; not Ward identities