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Supercharges in the hyper-Kähler with torsion supersymmetric sigma models

Abstract : We construct explicitly classical and quantum supercharges satisfying the standard N=4supersymmetryalgebra in the supersymmetric sigma models describing the motion over hyper-Kähler with torsion manifolds. One member of the family of superalgebras thus obtained is equivalent to the superalgebra derived and formulated earlier in purely mathematical framework.
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http://hal.in2p3.fr/in2p3-00876282
Contributor : Dominique Girod <>
Submitted on : Thursday, October 24, 2013 - 11:06:58 AM
Last modification on : Thursday, February 7, 2019 - 2:48:46 PM

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A.V. Smilga. Supercharges in the hyper-Kähler with torsion supersymmetric sigma models. Journal of Mathematical Physics, American Institute of Physics (AIP), 2012, 53, pp.122105. ⟨10.1063/1.4769452⟩. ⟨in2p3-00876282⟩

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