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Spin-2 and the Weak Gravity Conjecture | | Claudia de Rham
; Lavinia Heisenberg
; Andrew J. Tolley
; | | Date: |
3 Dec 2018 | | Abstract: | Recently, it has been argued that application of the Weak Gravity Conjecture
(WGC) to spin-2 fields implies a universal upper bound on the cutoff of the
effective theory for a single spin-2 field. We point out here that these
arguments are largely spurious, because of the absence of states carrying
spin-2 St"uckelberg $U(1)$ charge, and because of incorrect scaling
assumptions. Known examples such as Kaluza-Klein theory that respect the usual
WGC do so because of the existence of a genuine $U(1)$ field under which states
are charged, as in the case of the St"uckelberg formulation of spin-1
theories, for which there is an unambiguously defined $U(1)$ charge. Theories
of bigravity naturally satisfy a naive formulation of the WGC, $M_W < M_{
m
Pl}$, since the force of the massless graviton is always weaker than the
massive spin-2 modes. It also follows that theories of massive gravity
trivially satisfies this form of the WGC. We also point out that the
identification of a massive spin-2 state in a truncated higher derivative
theory, such as Einstein-Weyl-square or its supergravity extension, bears no
relationship with massive spin-2 states in the UV completion, contrary to
previous statements in the literature. | | Source: | arXiv, 1812.1012 | | Services: | Forum | Review | PDF | Favorites | |
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