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Equivalence of EFTs and Time-Like Extra Dimensions
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A flat 3-brane probing a five dimensional anti-de Sitter space has the same symmetries and symmetry breaking pattern as one probing a five dimensional de Sitter space with two time directions. Despite the seemingly different physical set ups, we show that the effective field theory of the brane bending mode is identical in both cases. In particular, despite "wrong" signs in the DBI action for the two-time de Sitter case, the theories have the same S-matrix. This is consistent with the expectation that effective field theories are determined solely by their degrees of freedom and pattern of symmetry breaking, even in the case of spacetime symmetries. We comment further on the equivalence between the Weyl/dilaton and DBI representations of the EFT of broken conformal symmetry.
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Cited by 1 Pith paper
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A Note on the AdS/CFT Equivalence Transformation for Galileons in General Dimensions
The AdS/CFT field redefinition for galileons is extended to all dimensions, and in odd dimensions the tadpole term is shown to be expressible via ordinary invariant terms.
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