Conformal solids and holography
File(s)Esposito2017_Article_ConformalSolidsAndHolography.pdf (574.55 KB)
Published version
Author(s)
Esposito, A
Garcia-Saenz, S
Nicolis, A
Penco, R
Type
Journal Article
Abstract
We argue that a SO(d) magnetic monopole in an asymptotically AdS space-time is dual to a d-dimensional strongly coupled system in a solid state. In light of this, it would be remiss of us not to dub such a field configuration solidon. In the presence of mixed boundary conditions, a solidon spontaneously breaks translations (among many other symmetries) and gives rise to Goldstone excitations on the boundary — the phonons of the solid. We derive the quadratic action for the boundary phonons in the probe limit and show that, when the mixed boundary conditions preserve conformal symmetry, the longitudinal and transverse sound speeds are related to each other as expected from effective field theory arguments. We then include backreaction and calculate the free energy of the solidon for a particular choice of mixed boundary conditions, corresponding to a relevant multi-trace deformation of the boundary theory. We find such free energy to be lower than that of thermal AdS. This suggests that our solidon undergoes a solid-to-liquid first order phase transition by melting into a Schwarzschild-AdS black hole as the temperature is raised.
Date Issued
2017-12-20
Date Acceptance
2017-12-11
Citation
The Journal of High Energy Physics, 2017, 2017 (12)
ISSN
1029-8479
Publisher
Springer Verlag (Germany)
Journal / Book Title
The Journal of High Energy Physics
Volume
2017
Issue
12
Copyright Statement
© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000418375200003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Holography and condensed matter physics (AdS/CMT)
Conformal Field Theory
Effective Field Theories
Solitons Monopoles and Instantons
FIELD-THEORIES
VISCOSITY
SPACETIME
MONOPOLE
PHYSICS
ENERGY
Publication Status
Published
Article Number
ARTN 113
Date Publish Online
2017-12-20