Interacting Spin-2 Fields

Details Interacting Spin-2 Fields Interacting Spin-2 Fields

2012-03-26

arxiv.org/abs/1203.5783v1

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 3 figures

Scientific paper

We construct consistent theories of multiple interacting spin-2 fields in arbitrary spacetime dimensions using a vielbein formulation. We show that these theories have the additional primary constraints needed to eliminate potential ghosts, to all orders in the fields, and to all orders beyond any decoupling limit. We postulate that the number of spin-2 fields interacting at a single vertex is limited by the number of spacetime dimensions. We then show that, for the case of two spin-2 fields, the vielbein theory is equivalent to the recently proposed theories of ghost-free massive gravity and bi-metric gravity. The vielbein formulation greatly simplifies the proof that these theories have an extra primary constraint which eliminates the Boulware-Deser ghost.

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