Continuum effective field theories, gravity, and holography Fichet, Sylvain Megías Fernández, Eugenio Quirós, Mariano The work of S. F. has been supported by the São Paulo Research Foundation (FAPESP) under Grants No. 2011/11973, No. 2014/21477-2, and No. 2018/11721-4, by CAPES under Grant No. 88887.194785, and by the University of California, Riverside. E. M. thanks the ICTP South American Institute for Fundamental Research (SAIFR), São Paulo, Brazil, for hospitality and partial financial support of FAPESP Grant No. 2016/01343-7 where part of this work was done. The work of E. M. is supported by Project No. PID2020-114767GB-I00 funded by MCIN/ AEI/10.13039/501100011033, by the FEDER/Junta de Andalucía-Consejería de Economía y Conocimiento 2014–2020 Operational Programme under Grant No. A- FQM-178-UGR18, and by Junta de Andalucía under Grant No. FQM-225. The research of E. M. is also supported by the Ramón y Cajal Program of the Spanish MICIN under Grant No. RYC-2016-20678. The work of M. Q. is partly supported by Spanish MICIN under Grant No. PID2020- 115845GB-100 and by the Catalan Government under Grant No. 2021SGR00649. IFAE is partially funded by the CERCA program of the Generalitat de Catalunya. We examine effective field theories (EFTs) with a continuum sector in the presence of gravity. We first explain, via arguments based on central charge and species scale, that an EFT with a free continuum cannot consistently couple to standard (i.e., 4D Einstein) gravity. It follows that EFTs with a free or nearly free continuum must have either a finite number of degrees of freedom or nonstandard gravity. The latter claim is realized for holographically defined continuum models. We demonstrate this by computing the deviations from standard gravity in a specific 5D scalar-gravity system that gives rise to a gapped continuum (i.e., the linear dilaton background). We find an R-2 deviation from the Newtonian potential. At finite temperature, we find an energy density with matterlike behavior in the brane Friedmann equation, holographically induced from the bulk geometry. Thus, remarkably, a braneworld living in the linear dilaton background automatically contains dark matter. We also present a slightly more evolved asymptotically AdS linear dilaton model, for which the deviations exhibit a transition between AdS and linear dilaton behaviors. 2023-06-29T07:17:29Z 2023-06-29T07:17:29Z 2023-05-19 journal article Sylvain Fichet, Eugenio Megías, and Mariano Quirós. Continuum effective field theories, gravity, and holography. Phys. Rev. D 107, 096016. [DOI: 10.1103/PhysRevD.107.096016] https://hdl.handle.net/10481/82935 10.1103/PhysRevD.107.096016 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional American Physical Society