MG12 - Talk detail
 

Back to previous page

 Participant 

Institution

Session

Talk

Abstract

Gravitational anomalies in curved space with non-abelian torsion

We consider the chiral U(1) and gravitational anomalies for a massless fermion of spin 1/2 in Riemann-Cartan space, which is the curved space with torsion. Then we suppose that the torsion tensor and vector gauge field are non-abelian ones belonging to a single group and do not commute. In 4 dimensional fermion model, the torsion tensor, which is the third order antisymmetric tensor, can be rewritten as the dual axial vector. These anomalies contain some terms which disappear in the case that the torsion and the gauge field commute. The terms may be described by using the commutator of the non-abelian fields.

Back to previous page