On the Hopf algebra setting of the flat superspace's deformation

Details On the Hopf algebra setting of the flat superspace's deformation On the Hopf algebra setting of the flat superspace's deformation

2011-05-12

arxiv.org/abs/1105.2420v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

In this paper, we introduce a Fr\'echet-Hopf algebra setting natural for supergroups, in particular for the flat supergroup R^{m|n}, and also compatible with its deformation quantization. We construct indeed this deformation in the sheaf-theoretic approach of supergeometry, and show that the universal deformation formula corresponds to a continuous twist acting on Fr\'echet comodule-algebras on the Fr\'echet-Hopf algebra associated to R^{m|n}. Furthermore, we prove that the group of internal symmetries of this deformation is exactly the inhomogeneous orthosymplectic group, and that the external symmetries of the universal deformation are not twisted.

Affiliated with

Also associated with

No associations

Rating

On the Hopf algebra setting of the flat superspace's deformation 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 the Hopf algebra setting of the flat superspace's deformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Hopf algebra setting of the flat superspace's deformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496810