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arXiv · 1811.03854

Conjugate spinor field equation for massless spin-$\frac{3}{2}$ field in de Sitter ambient space

S. Falahi·S. Parsamehr
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Abstract

The quantum field theory is expanding in de Sitter space-time. The ambient space formalism let us to develop the quantum field theory in a careful mathematical framework. Using the gauge-covariant derivative in the de Sitter ambient space, the gauge invariant Lagrangian density has been found. In this paper, the equations of the conjugate spinor for massless spin-$\frac{3}{2}$ gravitational field is obtained by Euler-Lagrange equation. Finally, these equations can be written in terms of the operator of the Casimir group de Sitter.

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S. Falahi, S. Parsamehr. 2019-01-24. Conjugate spinor field equation for massless spin-$\frac{3}{2}$ field in de Sitter ambient space. https://arxiv.org/abs/1811.03854

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