Fermionic Halos at Finite Temperature in AdS/CFT - INSPIRE

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Fermionic Halos at Finite Temperature in AdS/CFT

Carlos R. Argüelles
(
- La Plata U. and
- La Plata Observ.
)
,
Nicolás E. Grandi
(
- La Plata U.
)

Dec 15, 2017

14 pages

Published in:

JHEP 05 (2018) 118,
JHEP 18 (2020) 118

Published: May 17, 2018

e-Print:

1712.05866 [hep-th]

DOI:

10.1007/JHEP05(2018)118

View in:

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Abstract: (Springer)

We explore the gravitational backreaction of a system consisting in a very large number of elementary fermions at finite temperature, in asymptotically AdS space. We work in the hydrodynamic approximation, and solve the Tolman-Oppenheimer-Volkoff equations with a perfect fluid whose equation of state takes into account both the relativistic effects of the fermionic constituents, as well as its finite temperature effects. We find a novel dense core-diluted halo structure for the density profiles in the AdS bulk, similarly as recently reported in flat space, for the case of astrophysical dark matter halos in galaxies. We further study the critical equilibrium configurations above which the core undergoes gravitational collapse towards a massive black hole, and calculate the corresponding critical central temperatures, for two qualitatively different central regimes of the fermions: the diluted-Fermi case, and the degenerate case. As a probe for the dual CFT, we construct the holographic two-point correlator of a scalar operator with large conformal dimension in the worldline limit, and briefly discuss on the boundary CFT effects at the critical points.

Note:

14 pages, 5 figures. Replaced by revised version, published in JHEP. Notation unified with 1911.02554

Holography and condensed matter physics (AdS/CMT)
AdS-CFT Correspondence
field theory: conformal
finite temperature: effect
space: anti-de Sitter
effect: relativistic
dark matter: halo
approximation: hydrodynamics
correlation function: scalar
gravitation: back reaction

References(18)

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