Publication: Scale holography
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2018-09-11
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Springer
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Abstract
We present a new correspondence between a d-dimensional dynamical system and a family of higher-order derivative (d + 1)-dimensional systems. This new scaleholographic relation is built by the explicit introduction of a dimensionful constant which determines the size of the additional dimension. Scale holography is particularly useful for studying non-local theories, since the equivalent dual system on the higher dimensional manifold can be made to be local, as we illustrate with the specific examples of the p-adic string theory and the free particle.
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© The Author(s) 2018. We would like to thank M. A. Rodríguez, G. Álvarez, and G. Calcagni for fruitful conversations. This work has been supported in part by the MINECO (Spain) projects FIS2014-54800-C2- 2-P and FIS2017-86497-C2-2-P(AEI/FEDER, UE), FIS2014-52837- P, FPA2014-53375-C2-1-P, FIS2016-78859-P(AEI/FEDER, UE) and Consolider-Ingenio MULTIDARK CSD2009-00064. J.A.R.C. acknowledges financial support from the José Castillejo award (2015).