N=4 mechanics, WDVV equations and roots

Details N=4 mechanics, WDVV equations and roots N=4 mechanics, WDVV equations and roots

2008-02-29

arxiv.org/abs/0802.4386v3

JHEP 0903:113,2009

Physics

High Energy Physics

High Energy Physics - Theory

1+25 pages; v2: major revision (more general analysis, new solutions, additional references); v3: improvements in sects.5,8,9,

Scientific paper

10.1088/1126-6708/2009/03/113

N=4 superconformal multi-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial differential equations linear in U and generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. Putting U=0 yields a class of models (with zero central charge) which are encoded by the finite Coxeter root systems. We extend these WDVV solutions F in two ways: the A_n system is deformed n-parametrically to the edge set of a general orthocentric n-simplex, and the BCF-type systems form one-parameter families. A classification strategy is proposed. A nonzero central charge requires turning on U in a given F background, which we show is outside of reach of the standard root-system ansatz for indecomposable systems of more than three particles. In the three-body case, however, this ansatz can be generalized to establish a series of nontrivial models based on the dihedral groups I_2(p), which are permutation symmetric if 3 divides p. We explicitly present their full prepotentials.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-353039