N = 4 mechanics, WDVV equations and polytopes

  title={N = 4 mechanics, WDVV equations and polytopes},
  author={Olaf Lechtenfeld},
  journal={Physics of Atomic Nuclei},
  • 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… 

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