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On Lorentz-invariant (bi-)spin-2 theories †

Daisuke Yamauchi †

In this talk, I will discuss the Lorentz-invariant massless and massive spin-2 theories
in flat spacetime. Starting from the most general action of a rank-2 symmetric tensor field
whose Lagrangian contains up to quadratic in first derivatives of a field, I classify
ghost-free theories based on the number of degree-of-freedom and constraint structures.
I also discuss the possible extension to the ghost-free bi-spin-2 theories.