Srednicki — Quantum Field Theory · Problem 34.4

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · left-right-handed-spinor-fields

Problem

Consider a field

C_{a\ldots c\,\dot{a}\ldots\dot{c}}(x)

, with

N

undotted indices and

M

dotted indices, that is furthermore symmetric on exchange of any pair of undotted indices, and also symmetric on exchange of any pair of dotted indices. Show that this field corresponds to a single irreducible representation

(2n+1, 2n'+1)

of the Lorentz group, and identify

n

and

n'

Related theory

Electromagnetic Fields Forces And Fields

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