182 research outputs found
Emergent Quantum Near-Criticality from Baryonic Black Branes
We find new black 3-brane solutions describing the "conifold gauge theory" at
nonzero temperature and baryonic chemical potential. Of particular interest is
the low-temperature limit where we find a new kind of weakly curved
near-horizon geometry; it is a warped product AdS_2 x R^3 x T^{1,1} with warp
factors that are powers of the logarithm of the AdS radius. Thus, our solution
encodes a new type of emergent quantum near-criticality. We carry out some
stability checks for our solutions. We also set up a consistent ansatz for
baryonic black 2-branes of M-theory that are asymptotic to AdS_4 x Q^{1,1,1}.Comment: 29 pages, 4 figures; v2 discussion of entropy revised, minor changes;
v3 note added, minor improvements, version published in JHE
Finite-Temperature Fractional D2-Branes and the Deconfinement Transition in 2+1 Dimensions
The supergravity dual to N regular and M fractional D2-branes on the cone
over \mathbb{CP}^3 has a naked singularity in the infrared. One can resolve
this singularity and obtain a regular fractional D2-brane solution dual to a
confining 2+1 dimensional N = 1 supersymmetric field theory. The confining
vacuum of this theory is described by the solution of Cvetic, Gibbons, Lu and
Pope. In this paper, we explore the alternative possibility for resolving the
singularity - the creation of a regular horizon. The black-hole solution we
find corresponds to the deconfined phase of this dual gauge theory in three
dimensions. This solution is derived in perturbation theory in the number of
fractional branes. We argue that there is a first-order deconfinement
transition. Connections to Chern--Simons matter theories, the ABJM proposal and
fractional M2-branes are presented.Comment: v3: analytic solutions are expose
Holographic Superconductor/Insulator Transition at Zero Temperature
We analyze the five-dimensional AdS gravity coupled to a gauge field and a
charged scalar field. Under a Scherk-Schwarz compactification, we show that the
system undergoes a superconductor/insulator transition at zero temperature in
2+1 dimensions as we change the chemical potential. By taking into account a
confinement/deconfinement transition, the phase diagram turns out to have a
rich structure. We will observe that it has a similarity with the RVB
(resonating valence bond) approach to high-Tc superconductors via an emergent
gauge symmetry.Comment: 25 pages, 23 figures; A new subsection on a concrete string theory
embedding added, references added (v2); Typos corrected, references added
(v3
Holographic Symmetry-Breaking Phases in AdS/CFT
In this note we study the symmetry-breaking phases of 3D gravity coupled to
matter. In particular, we consider black holes with scalar hair as a model of
symmetry-breaking phases of a strongly coupled 1+1 dimensional CFT. In the case
of a discrete symmetry, we show that these theories admit metastable phases of
broken symmetry and study the thermodynamics of these phases. We also
demonstrate that the 3D Einstein-Maxwell theory shows continuous symmetry
breaking at low temperature. The apparent contradiction with the
Coleman-Mermin-Wagner theorem is discussed.Comment: 15 pages, 7 figur
Holographic Superconductors in a Cohesive Phase
We consider a four-dimensional N=2 gauged supergravity coupled to matter
fields. The model is obtained by a U(1) gauging of a charged hypermultiplet and
therefore it is suitable for the study of holographic superconductivity. The
potential has a topologically flat direction and the parameter running on this
"moduli space" labels the new superconducting black holes. Zero temperature
solutions are constructed and the phase diagram of the theory is studied. The
model has rich dynamics. The retrograde condensate is just a special case in
the new class of black holes. The calculation of the entanglement entropy makes
manifest the properties of a generic solution and the superconductor at zero
temperature is in a confined cohesive phase. The parameter running on the
topologically flat direction is a marginal coupling in the dual field theory.
We prove this statement by considering the way double trace deformations are
treated in the AdS/CFT correspondence. Finally, we comment on a possible
connection, in the context of gauge/gravity dualities, between the geometry of
the scalar manifold in N=2 supergravity models and the space of marginal
deformations of the dual field theory.Comment: 32 pages, 11 figures. Introduction rewritten and clarified, comments
and details on section 4 added, acknowledgements rectified. To appear in JHE
Entanglement Entropy and Wilson Loop in St\"{u}ckelberg Holographic Insulator/Superconductor Model
We study the behaviors of entanglement entropy and vacuum expectation value
of Wilson loop in the St\"{u}ckelberg holographic insulator/superconductor
model. This model has rich phase structures depending on model parameters. Both
the entanglement entropy for a strip geometry and the heavy quark potential
from the Wilson loop show that there exists a "confinement/deconfinement" phase
transition. In addition, we find that the non-monotonic behavior of the
entanglement entropy with respect to chemical potential is universal in this
model. The pseudo potential from the spatial Wilson loop also has a similar
non-monotonic behavior. It turns out that the entanglement entropy and Wilson
loop are good probes to study the properties of the holographic superconductor
phase transition.Comment: 23 pages,12 figures. v2: typos corrected, accepted in JHE
Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
We investigate the behavior of entanglement entropy across the holographic
p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a
negative cosmological constant. The holographic entanglement entropy is
calculated for a strip geometry at AdS boundary. It is found that the
entanglement entropy undergoes a dramatic change as we tune the ratio of the
gravitational constant to the Yang-Mills coupling, and that the entanglement
entropy does behave as the thermal entropy of the background black holes. That
is, the entanglement entropy will show the feature of the second order or first
order phase transition when the ratio is changed. It indicates that the
entanglement entropy is a good probe to investigate the properties of the
holographic phase transition.Comment: 19 pages,15 figures, extended discussion in Sec.5, references adde
The Many Phases of Holographic Superfluids
We investigate holographic superfluids in AdS_{d+1} with d=3,4 in the
non-backreacted approximation for various masses of the scalar field. In d=3
the phase structure is universal for all the masses that we consider: the
critical temperature decreases as the superfluid velocity increases, and as it
is cranked high enough, the order of the phase transition changes from second
to first. Surprisingly, in d=4 we find that the phase structure is more
intricate. For sufficiently high mass, there is always a second order phase
transition to the normal phase, no matter how high the superfluid velocity. For
some parameters, as we lower the temperature, this transition happens before a
first order transition to a new superconducting phase. Across this first order
transition, the gap in the transverse conductivity jumps from almost zero to
about half its maximum value. We also introduce a double scaling limit where we
can study the phase transitions (semi-)analytically in the large velocity
limit. The results corroborate and complement our numerical results. In d=4,
this approach has the virtue of being fully analytically tractable.Comment: 31 pages, 19 figure
Absorption of scalars by nonextremal charged black holes in string theory
We analyze the low frequency absorption cross section of minimally coupled massless scalar fields by different kinds of charged static black holes in string theory, namely the D1āD5 system in d=5 and a four dimensional dyonic four-charged black hole. In each case we show that this cross section always has the form of some parameter of the solution divided by the black hole Hawking temperature. We also verify in each case that, despite its explicit temperature dependence, such quotient is finite in the extremal limit, giving a well defined cross section. We show that this precise explicit temperature dependence also arises in the same cross section for black holes with string \alpha' corrections: it is actually induced by them.This work has been supported by FEDER funds through Programa Operacional Fatores de Competitividade
ā COMPETE and by FundaĆ§Ć£o para a CiĆŖncia e a Tecnologia (FCT) through projects EstC/MAT/UI0013/2011
and CERN/FP/123609/2011
Dynamic SU(2) Structure from Seven-branes
We obtain a family of supersymmetric solutions of type IIB supergravity with
dynamic SU(2) structure, which describe the local geometry near a stack of four
D7-branes and one O7-plane wrapping a rigid four-cycle. The deformation to a
generalized complex geometry is interpreted as a consequence of nonperturbative
effects in the seven-brane gauge theory. We formulate the problem for
seven-branes wrapping the base of an appropriate del Pezzo cone, and in the
near-stack limit in which the four-cycle is flat, we obtain an exact solution
in closed form. Our solutions serve to characterize the local geometry of
nonperturbatively-stabilized flux compactifications.Comment: 49 pages, 2 figures; v2: minor corrections, references adde
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