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N=4 Multi-Particle Mechanics, WDVV Equation and Roots
N=4 Multi-Particle Mechanics WDVV Equation and Roots
2010/11/30
We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment give...
Analysis on the 2-Dim Quantum Poincare Group at Roots of Unity
2-Dim Quantum Poincare Group homogeneous spaces
2000/3/30
2--Dim quantum Poincar\'e Group Eq(1,1) at roots of unity, its dual Uq(e(1,1)) and some of its homogeneous spaces are introduced. Invariant integrals on Eq(1,1) and its invariant discrete subgroup E(1...
Quaternionic Roots of E 8 Related Coxeter Graphs and Quasicrystals
Quaternionic Roots Quasicrystals E 8 Related Coxeter Graphs
1997/2/28
The lattice matching of two sets of quaternionic roots of F4 leads to quaternionic roots of E8 which has a decomposition H4 + s H4 where the Coxeter graph H4 is represented by the 120 quaternionic ele...