Global surpluses of spin-base invariant fermions

Understand

The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.

• We emphasize the advantages of the spin-base invariant formalism both from a conceptual as well as from a practical viewpoint.
• This suggests that local spin-base invariance should be added to the list of (effective) properties of (quantum) gravity theories.
• We find support for this viewpoint by the explicit construction of a global realization of the Clifford algebra on a 2-sphere which is impossible in the spin-base non-invariant vielbein formalism.