87 research outputs found
Discontinuity in RG Flows Across Dimensions: Entanglement, Anomaly Coefficients and Geometry
We study the entanglement entropy associated with a holographic RG flow from
to , where
is a -dimensional hyperbolic manifold with curvature
. The dual six-dimensional RG flow is disconnected from
Lorentz-invariant flows. In this context we address various notions of central
charges and identify a monotonic candidate -function that captures IR
aspects of the flow. The UV behavior of the holographic entanglement entropy
and, in particular its universal term, display an interesting dependence on the
curvature, . We then contrast our holographic results with existing
field theory computations in six dimensions and find a series of new
corrections in curvature to the universal term in the entanglement entropy.Comment: 31 pages, 9 figure
Chaos around Holographic Regge Trajectories
Using methods of Hamiltonian dynamical systems, we show analytically that a
dynamical system connected to the classical spinning string solution
holographically dual to the principal Regge trajectory is non-integrable. The
Regge trajectories themselves form an integrable island in the total phase
space of the dynamical system. Our argument applies to any gravity background
dual to confining field theories and we verify it explicitly in various
supergravity backgrounds: Klebanov-Strassler, Maldacena-Nunez, Witten QCD and
the AdS soliton. Having established non-integrability for this general class of
supergravity backgrounds, we show explicitly by direct computation of the
Poincare sections and the largest Lyapunov exponent, that such strings have
chaotic motion.Comment: 28 pages, 5 figures. V3: Minor changes complying to referee's
suggestions. Typos correcte
On N = 2 Truncations of IIB on T^{1,1}
We study the N=4 gauged supergravity theory which arises from the consistent
truncation of IIB supergravity on the coset T^{1,1}. We analyze three N=2
subsectors and in particular we clarify the relationship between true
superpotentials for gauged supergravity and certain fake superpotentials which
have been widely used in the literature. We derive a superpotential for the
general reduction of type I supergravity on T^{1,1} and this together with a
certain solution generating symmetry is tantamount to a superpotential for the
baryonic branch of the Klebanov-Strassler solution.Comment: 32 pages, v2:references adde
Holographic Approach to Regge Trajectory and Rotating D5 brane
We study the Regge trajectories of holographic mesons and baryons by
considering rotating strings and D5 brane, which is introduced as the baryon
vertex. Our model is based on the type IIB superstring theory with the
background of asymptotic . This background is dual to a
confining supersymmetric Yang-Mills theory (SYM) with gauge condensate,
, which determines the tension of the linear potential between the quark
and anti-quark. Then the slope of the meson trajectory () is given
by this condensate as at large spin . This
relation is compatible with the other theoretical results and experiments. For
the baryon, we show the importance of spinning baryon vertex to obtain a Regge
slope compatible with the one of and series. In both cases, mesons
and baryons, the trajectories are shifted to large mass side with the same
slope for increasing current quark mass.Comment: 28 pages, 7 figure
BMN vacua, superstars and non-abelian T-duality
Acting with non-Abelian T-duality on the inside the subspace of
with units of flux, we generate a new half-BPS solution
with symmetry that belongs to the Lin-Lunin-Maldacena class of
geometries. The analysis of the asymptotics, quantised charges and probe branes
in this geometry suggests an interpretation as the gravity dual to the
Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum
associated to a partition of , in which the multiplicity of each
irreducible representation is equal to its dimension. This vacuum is
interpreted in M-theory in terms of giant gravitons backreacting in the
maximally supersymmetric pp-wave geometry. Consistently with this, we show that
the non-Abelian T-dual solution exactly agrees with the Penrose limit of the
superstar solution in . This suggests an interesting global
completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.Comment: 28 pages, discussion in section 5.1 improved, results unchanged,
reference added. Matches published versio
Non-supersymmetric Conifold
We find a new family of non-supersymmetric numerical solutions of IIB
supergravity which are dual to the N=1 cascading "conifold" theory perturbed by
certain combinations of relevant single trace and marginal double trace
operators with non infinitesimal couplings. The SUSY is broken but the
resulting ground states, and their gravity duals, remain stable, at least
perturbatively.Despite the complicated field theory dynamics the gravity
solutions have a simple structure. They feature the Ricci-flat non-Kahler
metric on the deformed conifold and the imaginary self-dual three-form flux
accompanied by a constant dilaton.Comment: 27 pages, 6 figures; v2: minor corrections; v3: comments adde
Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
Most holographic models of superconducting systems neglect the effects of
dynamical boundary gauge fields during the process of spontaneous
symmetry-breaking. Usually a global symmetry gets broken. This yields a
superfluid, which then is gauged "weakly" afterwards. In this work we build
(and probe the dynamics of) a holographic model in which a local boundary
symmetry is spontaneously broken instead. We compute two-point functions of
dynamical non-Abelian gauge fields in the normal and in the broken phase, and
find non-trivial gapless modes. Our AdS3 gravity dual realizes a p-wave
superconductor in (1+1) dimensions. The ground state of this model also breaks
(1+1)-dimensional parity spontaneously, while the Hamiltonian is
parity-invariant. We discuss possible implications of our results for a wider
class of holographic liquids.Comment: 32 pages, 12 figures; v3: string theory derivation of setup added
(section 3.1), improved presentation, version accepted by JHEP; v2: paragraph
added to discussion, figure added, references added, typos correcte
The a-theorem and conformal symmetry breaking in holographic RG flows
We study holographic models describing an RG flow between two fixed points
driven by a relevant scalar operator. We show how to introduce a spurion field
to restore Weyl invariance and compute the anomalous contribution to the
generating functional in even dimensional theories. We find that the
coefficient of the anomalous term is proportional to the difference of the
conformal anomalies of the UV and IR fixed points, as expected from anomaly
matching arguments in field theory. For any even dimensions the coefficient is
positive as implied by the holographic a-theorem. For flows corresponding to
spontaneous breaking of conformal invariance, we also compute the two-point
functions of the energy-momentum tensor and the scalar operator and identify
the dilaton mode. Surprisingly we find that in the simplest models with just
one scalar field there is no dilaton pole in the two-point function of the
scalar operator but a stronger singularity. We discuss the possible
implications.Comment: 50 pages. v2: minor changes, added references, extended discussion.
v3: we have clarified some of the calculations and assumptions, results
unchanged. v4: published version in JHE
The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
We study a gravity solution corresponding to fivebranes wrapped on the
of the resolved conifold. By changing a parameter the solution continuously
interpolates between the deformed conifold with flux and the resolved conifold
with branes. Therefore, it displays a geometric transition, purely in the
supergravity context. The solution is a simple example of torsional geometry
and may be thought of as a non-K\"ahler analog of the conifold. By U-duality
transformations we can add D3 brane charge and recover the solution in the form
originally derived by Butti et al. This describes the baryonic branch of the
Klebanov-Strassler theory. Far along the baryonic branch the field theory gives
rise to a fuzzy two-sphere. This corresponds to the D5 branes wrapping the
two-sphere of the resolved conifold in the gravity solution.Comment: 41 pages, 7 figure
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