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2010

Many-particle mechanics with D(2,1;alpha) superconformal symmetry

Krivonos, Sergey, Lechtenfeld, Olaf

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We overcome the barrier of constructing N=4 superconformal models in one space dimension for more than three particles.

The D(2,1;alpha) superalgebra of our systems is realized on the coordinates and momenta of the particles, their superpartners and one complex pair of harmonic variables.
The models are determined by two prepotentials, F and U, which must obey the WDVV and a Killing-type equation plus homogeneity conditions.
We investigate permutation-symmetric solutions, with and without translation invariance.

Many-particle mechanics with D(2,1;alpha) superconformal symmetry · Around

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