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Self-duality and supersymmetry

Abstract : We observe that the Hamiltonian View the MathML source, where View the MathML source is the flat 4d Dirac operator in a self-dual gauge background, is supersymmetric, admitting 4 different real supercharges. A generalization of this model to the motion on a curved conformally flat 4d manifold exists. For an Abelian self-dual background, the corresponding Lagrangian can be derived from known harmonic superspace expressions.
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http://hal.in2p3.fr/in2p3-00494222
Contributor : Dominique Girod <>
Submitted on : Tuesday, June 22, 2010 - 1:59:54 PM
Last modification on : Thursday, February 7, 2019 - 3:17:24 PM

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M. Konyushikhin, A.V. Smilga. Self-duality and supersymmetry. Physics Letters B, Elsevier, 2010, 689, pp.95-100. ⟨10.1016/j.physletb.2010.04.048⟩. ⟨in2p3-00494222⟩

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