Abstract
Conformal spinor calculus for an arbitrary Euclidean space En, n even, n = 2v, is developed, and fundamental spin tensors for Clifford algebra Cln+2 of the space of representation En+2 are calculated. It is found that the conformal charge conjugate of a 2v-semispinor ψc± differs from the relativistic, conventional φc±, by the permutation of the semispinors and the factor γn+1=1n!it−ν|g|12γ[1⋯γn], t=number of timelike dimensions of En;namely, ψc±=∓γn+1φc∓ for ν even, t odd. This is related to the Pauli-Gürsey isospin group. The transformation laws for spinors and conjugate spinors under conformal group are studied. Conformal identities for matrix elements and bilinear covariants are indicated.
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