On group properties and reality conditions of UOSp(1|2) gauge transformations

Details On group properties and reality conditions of UOSp(1|2) gauge transformations On group properties and reality conditions of UOSp(1|2) gauge transformations

2008-11-10

arxiv.org/abs/0811.1502v1

Physics

Mathematical Physics

14 pages

Scientific paper

For osp(1|2;C) graded Lie algebra, which proper Lie subalgebra is su(2), we consider the Baker-Campbell-Hausdorff formula and formulate a reality condition for the Grassmann-odd transformation parameters that multiply the pair of odd generators of the graded Lie algebra. Utilization of su(2)-spinors clarifies the nature of Grassmann-odd transformation parameters and allow us an investigation of the corresponding infinitesimal gauge transformations. We also explore action of the corresponding group element of UOSp(1|2) on an appropriately graded representation space and find that the graded generalization of hermitian conjugation is compatible with the Dirac adjoint. Consistency of generalized (graded) unitary condition with the proposed reality condition is shown.

Affiliated with

Also associated with

No associations

Rating

On group properties and reality conditions of UOSp(1|2) gauge transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On group properties and reality conditions of UOSp(1|2) gauge transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On group properties and reality conditions of UOSp(1|2) gauge transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724910