@misc{10481/93389,
year = {2024},
month = {5},
url = {https://hdl.handle.net/10481/93389},
abstract = {The linear dilaton (LD) background is the keystone of a string-derived holographic correspondence
beyond AdSdþ1=CFTd. This motivates an exploration of the (d þ 1)-dimensional linear dilaton spacetime
(LDdþ1) and its holographic properties from the low-energy viewpoint.We first notice that the LDdþ1 space
has simple conformal symmetries, that we use to shape an effective field theory (EFT) on the LD
background. We then place a brane in the background to study holography at the level of quantum fields
and gravity. We find that the holographic correlators from the EFT feature a pattern of singularities
at certain kinematic thresholds. We argue that such singularities can be used to bootstrap the putative
d-dimensional dual theory using techniques analogous to those of the cosmological bootstrap program.
Turning on finite temperature, we study the holographic fluid emerging on the brane in the presence of a
bulk black hole. We find that the holographic fluid is pressureless for any d due to a cancellation between
Weyl curvature and dilaton stress tensor, and verify consistency with the time evolution of the theory. From
the fluid thermodynamics, we find a universal temperature and Hagedorn behavior for any d. This matches
the properties of a CFT2 with large TT¯ deformation, and of little string theory for d ¼ 6. We also find that
the holographic fluid entropy exactly matches the bulk black hole Bekenstein-Hawking entropy. Both the
fluid equation of state and the spectrum of quantum fluctuations suggest that the d-dimensional dual theory
arising from LDdþ1 is generically gapped.},
organization = {Project No. PID2020–
114767GB-I00},
organization = {Ramón y Cajal Program under
Grant No. RYC-2016-20678},
organization = {“FSE Investing in your
future,” by the FEDER/Junta de Andalucía-Consejería de
Economía y Conocimiento 2014–2020 Operational
Programme under Grant No. A-FQM-178-UGR18},
organization = {Junta de Andalucía under Grant No. FQM-225},
organization = {“Prórrogas de Contratos Ramón y Cajal” Program of the
University of Granada},
organization = {Spanish MICIN under Grant No. PID2020–
115845GB-I00},
organization = {Catalan Government under
Grant No. 2021SGR00649},
organization = {IFAE is partially funded by
the CERCA program of the Generalitat de Catalunya},
publisher = {American Physical Society},
title = {Holography of linear dilaton spacetimes from the bottom up},
doi = {10.1103/PhysRevD.109.106011},
author = {Fichet, Sylvain and Megías Fernández, Eugenio and Quirós, Mariano},
}