N = 4 mechanics, WDVV equations and polytopes

@article{Lechtenfeld2008N4,
  title={N = 4 mechanics, WDVV equations and polytopes},
  author={Olaf Lechtenfeld},
  journal={Physics of Atomic Nuclei},
  year={2008},
  volume={73},
  pages={375-383}
}
  • O. Lechtenfeld
  • Published 3 November 2008
  • Physics
  • Physics of Atomic Nuclei
N = 4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten—Dijkgraaf—Verlinde—Verlinde (WDVV) equation for F. The solutions are encoded by the finite Coxeter systems and certain deformations thereof, which can be encoded by particular polytopes. We provide An and B3 examples in some detail. Turning on the prepotential U in a given F background is very… 

Generating All 36, 864 Four-Color Adinkras via Signed Permutations and Organizing into ℓ- and ℓ ˜ -Equivalence Classes

On the basis of the complete analysis of the supersymmetrical representations achieved in the preparatory first four sections, the final comprehensive achievement of this work is the construction of the universal B C 4 non-linear σ -model.

References

SHOWING 1-10 OF 15 REFERENCES

N=4 mechanics, WDVV equations and roots

= 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

4 superconformal Calogero models

We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various = 4 superconformal quantum many-body systems on the real line from a set of

(Super)conformal many-body quantum mechanics with extended supersymmetry

We study N=4 supersymmetric quantum-mechanical many-body systems with M bosonic and 4M fermionic degrees of freedom. We also investigate the further restrictions of conformal and superconformal

New insight into the Witten-Dijkgraff-Verlinde-Verlinde equation

We show that Witten-Dijkgraaf-Verlinde-Verlinde equation underlies the construction of N=4 superconformal multi--particle mechanics in one dimension, including a N=4 superconformal Calogero model.

On the geometry of ∨-systems

We consider a complex version of the ∨-systems, which appeared in the theory of the WDVV equation. We show that the class of these systems is closed under the natural operations of restriction and