Supersymmetry in Elementary Particle Physics · Problem 2.2

Formalism of Supersymmetry

Physics — Particle Physics · fierz-identity-derivation

Problem

Derive the Fierz identity ηαξβ†=−12(ξ†σˉmη)σαβm\eta_\alpha \xi^\dagger_\beta = -\frac{1}{2}(\xi^\dagger \bar{\sigma}^m \eta) \sigma^m_{\alpha\beta} by writing out the four components explicitly.

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