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What is the Lagrangian for the interaction of graviphoton with matter?

There are some models that postulate the existence of graviphoton. What is the Lagrangian for the interaction of graviphoton with matter?
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Gravity = Yang-Mills squared? What is the Lagrangian?

In the following comment and references, it is mentioned that gravity can be understood as yang mills squared. What is the Lagrangian of a Yang Mills squared theory? Can anyone provide a quick primer? ...
Anon21's user avatar
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