64 research outputs found
Flavor corrections to the entanglement entropy
We consider the holographic entanglement entropy in N=4 SYM coupled to
massive flavor degrees of freedom. The flavors are introduced by putting D7
branes in AdS_5. The resulting geometry including the backreaction of the
branes is known in a perturbation expansion in the ratio N_f/N_c. We consider
the expansion to first order, and compute the entanglement entropy of a region
of the boundary. We consider two different cases for the geometry of the
region: a slab and a ball. We find analytic solutions for the minimal surfaces
in the bulk whose area gives the entropy, and analyze the structure of the UV
divergence and the dependence on the masses. Our results confirm the general
structure that was predicted by free field theory calculations, but with
coefficients that depend on the coupling.Comment: 17 pages, 1 figure, references adde
Circuit Complexity and 2D Bosonisation
We consider the circuit complexity of free bosons, or equivalently free
fermions, in 1+1 dimensions. Motivated by the results of [1] and [2, 3] who
found different behavior in the complexity of free bosons and fermions, in any
dimension, we consider the 1+1 dimensional case where, thanks to the
bosonisation equivalence, we can consider the same state from both the bosonic
and the fermionic perspectives. In this way the discrepancy can be attributed
to a different choice of the set of gates allowed in the circuit. We study the
effect in two classes of states: i) bosonic-coherent / fermionic-gaussian
states; ii) states that are both bosonic- and fermionic-gaussian. We consider
the complexity relative to the ground state. In the first class, the different
results can be reconciled admitting a mode-dependent cost function in one of
the descriptions. The differences in the second class are more important, in
terms of the cutoff-dependence and the overall behavior of the complexity.Comment: Fix typos and add reference
Phenomenological characterisation of semi-holographic non-Fermi liquids
We analyse some phenomenological implications of the most general
semi-holographic models for non-Fermi liquids that have emerged with inputs
from the holographic correspondence. We find generalizations of Landau-Silin
equations with few parameters governing thermodynamics, low energy response and
collective excitations. We show that even when there is a Fermi surface with
well-defined quasi-particle excitations, the collective excitations can behave
very differently from Landau's theory.Comment: 5+5 pages, 3 figures, expanded supplementary material, published
versio
Dressing the Electron Star in a Holographic Superconductor
We construct new asymptotically AdS_4 solutions dual to 2+1 CFTs at finite
density and zero temperature by combining the ingredients of the electron star
and the holographic superconductor. The solutions, which we call "compact
electron stars", contain both a fermionic fluid and charged scalar hair in the
bulk. We show that the new solutions are thermodynamically favoured in the
region of parameter space where they exist. Along the boundary of this region,
we find evidence for a continuous phase transition between the holographic
superconductor and the compact star solution.Comment: 31 pages, 10 figures; added reference
Conformal Blocks and Negativity at Large Central Charge
We consider entanglement negativity for two disjoint intervals in 1+1
dimensional CFT in the limit of large central charge. As the two intervals get
close, the leading behavior of negativity is given by the logarithm of the
conformal block where a set of approximately null descendants appears in the
intermediate channel. We compute this quantity numerically and compare with
existing analytic methods which provide perturbative expansion in powers of the
cross-ratio.Comment: harvmac, 30 pages, 2 figures, references added, accepted for
publication in JHE
The Super-Higgs Mechanism in Fluids
Supersymmetry is spontaneously broken when the field theory stress-energy
tensor has a non-zero vacuum expectation value. In local supersymmetric field
theories the massless gravitino and goldstino combine via the super-Higgs
mechanism to a massive gravitino. We study this mechanism in four-dimensional
fluids, where the vacuum expectation value of the stress-energy tensor breaks
spontaneously both supersymmetry and Lorentz symmetry. We consider both
constant as well as space-time dependent ideal fluids. We derive a formula for
the gravitino mass in terms of the fluid velocity, energy density and pressure.
We discuss some of the phenomenological implications.Comment: 16 page
Late time behavior of non-conformal plasmas
We determine analytically the dependence of the approach to thermal
equilibrium of strongly coupled plasmas on the breaking of scale invariance.
The theories we consider are the holographic duals to Einstein gravity coupled
to a scalar with an exponential potential. The coefficient in the exponent,
, is the parameter that controls the deviation from the conformally
invariant case. For these models we obtain analytic solutions for the plasma
expansion in the late-time limit, under the assumption of boost-invariance, and
we determine the scaling behaviour of the energy density, pressure, and
temperature as a function of time. We find that the temperature decays as a
function of proper time as with determined in terms of
the non-conformality parameter as . This agrees with the
result of Janik and Peschanski, , for the conformal plasmas and
generalizes it to non-conformal plasmas with . We also consider more
realistic potentials where the exponential is supplemented by power-law terms.
Even though in this case we cannot have exact solutions, we are able under
certain assumptions to determine the scaling of the energy, that receives
logarithmic corrections.Comment: 31 page
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