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Using on-shell gauge invariant formulation of relativistic dynamics we studyinteraction vertices for a massive spin 5/2 Dirac field propagating in (A)dSspace of dimension greater than or equal to four. Gravitational interactionvertex for the massive spin 5/2 field and all cubic vertices for the massivespin 5/2 field and massless spin 2 field with two and three derivatives areobtained. In dimension greater that four, we demonstrate that the gravitationalvertex of the massive spin 5/2 field involves, in addition to the standardminimal gravitational vertex, contributions with two and three derivatives. Wefind that for the massive spin 5/2 and massless spin 2 fields one can build twohigher-derivative vertices with two and three derivatives. Limits of masslessand partial massless spin 5/2 fields in (A)dS space and limits of massive andmassless spin 5/2 fields in flat space are discussed.Comment: 51 pages, LaTeX-2e, v3: Section 1 is divided into Sections 1-6.  Discussion of gravitational and higher-derivative vertices added to Sections  2-6. Tables I, II and Appendices B,C,D,E,F added. Typos correcte

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Gravitational and higher-derivative interactions of a massive spin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>field in (A)dS space

Gravitational and higher-derivative interactions of a massive spin5/2field in (A)dS space