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New Type of \(\mathcal{N} = 4\) Supersymmetric Mechanics

  • Evgeny¬†Ivanov
  • Stepan¬†Sidorov
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 111)

Abstract

We give a short account of the superfield approach based on deformed analogs of the standard \(\mathcal{N}=4,d=1\) superspace and present a few models of supersymmetric quantum mechanics constructed within this new framework. The relevant superspaces are the proper cosets of the supergroup SU(2‚ÄČ|‚ÄČ1). As instructive examples we consider the models associated with the worldline SU(2‚ÄČ|‚ÄČ1) supermultiplets (1,4,3) and (2,4,2). An essential ingredient of these models is the mass parameter m which deforms the standard \(\mathcal{N}=4,d=1\) supersymmetry to SU(2‚ÄČ|‚ÄČ1) supersymmetry.

Keywords

Kinetic Term Casimir Operator Supersymmetry Transformation Fermionic State Supersymmetric Quantum Mechanic 
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Notes

Acknowledgements

E.I. thanks the organizers of the tenth International Workshop ‚ÄúLie Theory and Its Applications in Physics‚ÄĚ and, especially, Vlado Dobrev for the kind hospitality in Varna.

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJINRDubnaRussia

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