Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-30
Phys.Lett. B628 (2005) 157-164
Physics
High Energy Physics
High Energy Physics - Theory
8 pages; typos corrected
Scientific paper
10.1016/j.physletb.2005.09.046
We show that for positive integer values $l$ of the parameter in the conformal mechanics model the system possesses a hidden nonlinear superconformal symmetry, in which reflection plays a role of the grading operator. In addition to the even $so(1,2)\oplus u(1)$-generators, the superalgebra includes $2l+1$ odd integrals, which form the pair of spin-$(l+{1/2})$ representations of the bosonic subalgebra and anticommute for order $2l+1$ polynomials of the even generators. This hidden symmetry, however, is broken at the level of the states in such a way that the action of the odd generators violates the boundary condition at the origin. In the earlier observed double nonlinear superconformal symmetry, arising in the superconformal mechanics for certain values of the boson-fermion coupling constant, the higher order symmetry is of the same, broken nature.
Correa Francisco
del Olmo Mariano A.
Plyushchay Mikhail S.
No associations
LandOfFree
On hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry 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 hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-20762