Connection Constraints from Non-Abelian Super symmetric Quantum MechanicsGianni Tallarita*
Department of Physics, Centre for Research in String Theory, Queen Mary University of London, Mile End Road, London, E1 4NS, UK.
- *Corresponding Author:
- Gianni Tallarita
Centre for Research in String Theory
Queen Mary University of London
Mile End Road, London, UK
Tel: +44 20 7882 5555
E-mail: [email protected]
Received date: 06/05/2015; Accepted date: 04/03/2016; Published date: 30/03/2016
We generalise the study of constraints imposed by supersymmetry on the Berry connection to transformations with component elds in representations of an internal symmetry group G. Since the elds act as co-ordinates of the underlying space one nds a non-trivial extension to its structure and, correspondingly, there are new non-abelian constraints on the Berry connection. The specic case of G = SU(2) is shown to constrain the connection to behave as a magnetic monopole over su(2), its Lie algebra.