All spin-2 cubic vertices with two derivatives

Abstract

In this paper we provide a complete list of spin-2 cubic interaction vertices with two derivatives. We work in (anti) de Sitter space with dimension d >= 4 and arbitrary value of cosmological constant and use simple metric formalism without any auxiliary or Stueckelberg fields. We separately consider cases with one, two and three different spin-2 fields entering the vertex where each field may be massive, massless or partially massless one. The connection of our results with massive (bi)gravity theories is also briefly discussed.

17 pages

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• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
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• The Cosmology of Interacting Spin-2 Fields
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• A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle
• Extended Weyl Invariance in a Bimetric Model and Partial Masslessness
• Looking for partially-massless gravity
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• Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants