Dual multiplets in N=4 superconformal mechanics

Details Dual multiplets in N=4 superconformal mechanics Dual multiplets in N=4 superconformal mechanics

2010-12-10

arxiv.org/abs/1012.2325v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figures, PACS: 12.60.Jv, 03.65.-w, 11.30.Pb; minor corrections

Scientific paper

We propose Lagrangian formulations of a three-particles translation invariant $N=4$ superconformal mechanics based on the standard and twisted $(1,4,3)$ supermultiplets. We show that in the appropriate set of coordinates, in which the bosonic kinetic terms for each of the two cases take conformally-flat forms, the corresponding models produce just similar physical systems with the flipped angular part of bosonic potential $U(x)\rightarrow 1/U(x)$. This flipping looks so simple only being written in the "angle" variable, while in the standard variables it looks more complicated to preserve the superconformal symmetry. We demonstrate at both the superfield and the component level, how familiar $N=4$ supersymmetric 3-particles models, including $3-Calogero$, ${\it BC_2}$ and ${\it G_2}$ ones, can be constructed with twisted supermultiplets. We also present some new explicit examples of 3-dimensional superconformal mechanics.

Affiliated with

Also associated with

No associations

Rating

Dual multiplets in N=4 superconformal mechanics 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 Dual multiplets in N=4 superconformal mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dual multiplets in N=4 superconformal mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108261