Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-28
Int.J.Mod.Phys.A23:309-326,2008
Physics
High Energy Physics
High Energy Physics - Theory
Final version to be published in Int. J. Mod. Phys. A; 20 pages
Scientific paper
10.1142/S0217751X08038159
We investigate supergroups with Grassmann parameters replaced by odd Clifford parameters. The connection with non-anticommutative supersymmetry is discussed. A Berezin-like calculus for odd Clifford variables is introduced. Fermionic covariant derivatives for supergroups with odd Clifford variables are derived. Applications to supersymmetric quantum mechanics are made. Deformations of the original supersymmetric theories are encountered when the fermionic covariant derivatives do not obey the graded Leibniz property. The simplest non-trivial example is given by the N=2 SQM with a real $(1,2,1)$ multiplet and a cubic potential. The action is real. Depending on the overall sign ("Euclidean" or "Lorentzian") of the deformation, a Bender-Boettcher pseudo-hermitian hamiltonian is encountered when solving the equation of motion of the auxiliary field. A possible connection of our framework with the Drinfeld twist deformation of supersymmetry is pointed out.
Kuznetsova Zhanna
Rojas M.
Toppan Francesco
No associations
LandOfFree
On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule 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 Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-447984