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Universal vector wave equations allowing for a unified description of anyons, and also of usual bosons and fermions in the plane are proposed.
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P. de Sousa Gerbert, “Anyons, Chern-Simons Lagrangians and physics in (2+1)-dimensions,” Int. J. Mod. Phys. A 6
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M. S. Plyushchay, “Relativistic particle with torsion, Majorana equation and fractional spin,” Phys. Lett. B 262
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R. Puzalowski, “Galilean supersymmetry,” Acta Phys. Austriaca 50
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1998
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R. Jackiw and V. P. Nair, “Anyon spin and the exotic central extension of the planar Galilei group,” Phys. Lett. B 480
2000
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M. Plyushchay, “Hidden nonlinear supersymmetries in pure parabosonic systems,” Int. J. Mod. Phys. A 15
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2001
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1994
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D. P. Sorokin and D. V. Volkov, “(Anti)commuting spinors and supersymmetric dynamics of semions,” Nucl. Phys. B 409
1994
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M. S. Plyushchay, “Deformed Heisenberg algebra and fractional spin field in (2+1)-dimensions,” Phys. Lett. B 320
1994
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1994
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S. Ghosh, “Spinning particles in 2 + 1 2+1 dimensions,” Phys. Lett. B 338
1995
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M. S. Plyushchay, “Deformed Heisenberg algebra, fractional spin fields and supersymmetry without fermions,” Annals Phys. 245
1996
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M. S. Plyushchay, “R-deformed Heisenberg algebra,” Mod. Phys. Lett. A 11
1996
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C. Duval and P. A. Horváthy : “Spin and exotic Galilean symmetry,” Phys. Lett. B 547
2002
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P. A. Horváthy, L. Martina and P. Stichel, “Galilean symmetry in noncommutative field theory,” Phys. Lett. B 564
2003
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P. A. Horvathy and M. S. Plyushchay, “Anyon wave equations and the noncommutative plane,” Phys. Lett. B 595
2004
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M. A. Vasiliev, “Higher spin gauge theories in various dimensions,” Fortsch. Phys. 52
2004
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G. S. Lozano, O. Piguet, F. A. Schaposnik and L. Sourrouille, “Nonrelativistic supersymmetry in noncommutative space,” Phys. Lett. B 630
2005
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J. Lukierski, I. Prochnicka, P. C. Stichel and W. J. Zakrzewski, “Galilean exotic planar supersymmetries and nonrelativistic supersymmetric wave equations,” Phys. Lett. B 639
2006
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A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals Phys. 303
2006
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P. A. Horvathy, M. S. Plyushchay and M. Valenzuela, “Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane,” Nucl. Phys. B 768
2007
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2008
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2009
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S. Deser, “Massive spin 3/2 theories in three-dimensions,” Phys. Lett. B 140
2009
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