期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2017)113
关键词
Holography and condensed matter physics (AdS/CMT); Conformal Field Theory; Effective Field Theories; Solitons Monopoles and Instantons
资金
- US Department of Energy [DE-FG02-11ER41743, DE-FG02-92-ER40699, DE-SC0013528, DE-SC0011941]
- European Research Council under European Community's Seventh Framework Programme (NIRG) [307934]
- European Research Council (ERC) [307934] Funding Source: European Research Council (ERC)
- U.S. Department of Energy (DOE) [DE-SC0013528] Funding Source: U.S. Department of Energy (DOE)
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 con figuration 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.
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