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Supercharges in the HKT Supersymmetric Sigma Models (1209.0539v2)

Published 4 Sep 2012 in math-ph, hep-th, and math.MP

Abstract: We construct explicitly classical and quantum supercharges satisfying the standard N = 4 supersymmetry algebra in the supersymmetric sigma models describing the motion over HKT (hyper-Kaehler with torsion) manifolds. One member of the family of superalgebras thus obtained is equivalent to the superalgebra derived and formulated earlier in the purely mathematical framework.

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