Spin Connection

Connection on a spinor bundle: the tool that lets the Dirac equation and spinor fields exist in curved spacetime.

Specifications & Metrics

type

Geometry & Torsion

Core Principles & Analysis

• In differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle.
• It relates the spacetime metric g_μν to the Minkowski metric η_ab carried by local frames.
• It is essential for writing the Dirac equation in curved spacetime.

Sources

• Wikipedia: Spin connection