79 research outputs found
The dual geometries of deformed CFT and highly excited states of CFT
In previous works, we have developed an approach to derive the pure AdS
and BTZ black hole from the entanglement entropies of the free CFT and
finite temperature CFT, respectively. We exclusively use holographic
principle only and make no restriction about the bulk geometry, not only the
kinematics but also the dynamics. In order to verify the universality and
correctness of our method, in this paper, we apply it to the
deformed CFT, which breaks the conformal symmetry. In terms of the physical
arguments of the deformed CFT, the derived metric is a deformed
BTZ black hole. The requirement that the CFT lives on a conformally flat
boundary leads to naturally, in perfect
agreement with previous conjectures in literature. The energy spectum and
propagation speed calculated with this deformed BTZ metric are the same as
these derived from deformed CFT. We furthermore calculate the
dual geometry of highly excited states with our approach. The result contains
the descriptions for the conical defect and BTZ black hole.Comment: V2, 14 pages, 2 figures. references added. arXiv admin note: text
overlap with arXiv:1809.0135
Holographic DC Conductivity for Backreacted Nonlinear Electrodynamics with Momentum Dissipation
We consider a holographic model with the charge current dual to a general
nonlinear electrodynamics (NLED) field. Taking into account the backreaction of
the NLED field on the geometry and introducing axionic scalars to generate
momentum dissipation, we obtain expressions for DC conductivities with a finite
magnetic field. The properties of the in-plane resistance are examined in
several NLED models. For Maxwell-Chern-Simons electrodynamics, negative
magneto-resistance and Mott-like behavior could appear in some parameter space
region. Depending on the sign of the parameters, we expect the NLED models to
mimic some type of weak or strong interactions between electrons. In the latter
case, negative magneto-resistance and Mott-like behavior can be realized at low
temperatures. Moreover, the Mott insulator to metal transition induced by a
magnetic field is also observed at low temperatures.Comment: 28 pages, 31 figures. Added reference
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