New D(2,1;alpha) Mechanics with Spin Variables

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

1+28 pages, no figures; v2: clarifying remarks and references added, published version

Scientific paper

10.1007/JHEP04(2010)129

We elaborate on a novel superconformal mechanics model possessing D(2,1;alpha) symmetry and involving extra U(2) spin variables. It is the one-particle case of the N=4 superconformal matrix model recently proposed in arXiv:0812.4276 [hep-th], and it generalizes to arbitrary alpha\neq0 the OSp(4|2) superconformal mechanics of arXiv:0905.4951 [hep-th]. As in the latter case, the U(2) spin variables are described by a Wess-Zumino action and define the first Hopf map S^3 -> S^2 in the target space. Upon quantization, they represent a fuzzy sphere. We find the classical and quantum generators of the D(2,1;alpha) superalgebra and their realization on the physical states. The super wavefunction encompasses various multiplets of the SU(2)_R and SU(2)_L subgroups of D(2,1;alpha), with fixed isospins. The conformal potential is determined by the external magnetic field in the Wess-Zumino term, whose amplitude is quantized like in the OSp(4|2) case. As a byproduct, we reveal new invariant subspaces in the enveloping algebra of D(2,1;alpha) for our quantum realization.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

New D(2,1;alpha) Mechanics with Spin Variables 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 New D(2,1;alpha) Mechanics with Spin Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New D(2,1;alpha) Mechanics with Spin Variables will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-348609

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.