Conjugate spinor field equation for massless spin-3/2 field in de Sitter ambient space

S. Falahi, S. Parsamehr

Abstract


The quantum field theory in de Sitter ambient space provide us with a comprehensive description of massless gravitational field. Using the gauge-covariant derivative in the de Sitter ambient space, the gauge invariant Lagrangian density has been found.
In this paper, the equation of the conjugate spinor for massless spin-$\frac{3}{2}$ field is obtained by Euler-Lagrange equation. Then the field equation is written in terms of the Casimir operator of the de Sitter group. Finally, the gauge invariant field equation is presented.


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References


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DOI: https://doi.org/10.31349/RevMexFis.67.465

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