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Supersymmetry in complex space-time

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Abstract

An interconnection between superluminal transformation and supersymmetric transformations has been investigated in complex C3-space and the evolution of bosonic and fermionic subspaces in such space has been undertaken. Introducing the suitable anticommuting operators to induce grading in Poincare group in C3-space in terms of components of complex angular momentum operator, the supersymmetric algebra connecting bradyonic and tachyonic bosons and fermions has been constructed and it has been demonstrated that the difference between scales of bosonic and fermionic subspaces in C3-space increases quickly in spite of their closeness initially.

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Author notes

  1. B S Rajput

    Present address: H N B Garhwal University, 246 174, Srinagar, India

Authors and Affiliations

  1. Department of Physics, Kumaun University, 263 002, Nainital, India

    Shuchi Bora & B S Rajput

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  1. Shuchi Bora
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  2. B S Rajput
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Bora, S., Rajput, B.S. Supersymmetry in complex space-time. Pramana - J. Phys. 44, 501–509 (1995). https://doi.org/10.1007/BF02878861

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  • DOI: https://doi.org/10.1007/BF02878861

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