A method for obtaining solutions to the classical equations scalars plus gravity in five dimensions is applied some recent suggestions brane-world phenomenology. The involves only first order differential equations. It inspired by gauged supergravity but does not require supersymmetry. Our application a full nonlinear treatment of recently studied stabilization mechanism interbrane spacing. spacing uniquely determined after conventional fine-tuning achieve zero four-dimensional cosmological...

We develop both the gravity and field theory sides of Karch-Randall conjecture that near-horizon description a certain D5-D3 brane configuration in string theory, realized as ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$ bisected by an ${\mathrm{AdS}}_{4}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{2}$ ``brane,'' is dual to $\mathcal{N}=4$ super Yang-Mills ${\mathbf{R}}^{4}$ coupled ${\mathbf{R}}^{3}$ defect. propose complete Lagrangian for dual, novel ``defect...

Warped compactifications with branes provide a new approach to the hierarchy problem and generate diversity of four-dimensional thresholds. We investigate relationships between these scales, which fall into two classes. Geometrical such as thresholds for Kaluza-Klein, excited string, black hole production, are generically determined solely by spacetime geometry. Dynamical notably scale supersymmetry breaking moduli masses, depend on other details model. illustrate in class solutions type IIB...

We numerically construct a family of five-dimensional black holes exhibiting line first-order phase transitions terminating at critical point finite chemical potential and temperature. These are constructed so that the equation state baryon susceptibilities approximately match QCD lattice data vanishing potential. The end in particular model we consider has temperature 143 MeV 783 MeV. Critical exponents calculated, with results consistent mean-field scaling relations.

We study time-dependent perturbations to a family of five-dimensional black hole spacetimes constructed as holographic model the QCD phase diagram. use results calculate two transport coefficients, bulk viscosity and conductivity, well associated baryon diffusion constant, throughout Near critical point in $T\ensuremath{-}\ensuremath{\mu}$ plane, coefficients remain finite, although their derivatives diverge, goes zero. This provides further evidence that large-${N}_{c}$ gauge theories...

We discuss how electromagnetically dualizing a 1-form to 2-form in AdS$_5$ exchanges regular and alternate boundary conditions, thus gauges the originally global $U(1)$ symmetry dual field theory. The generalized current bulk is identified as strength of gauged $U(1)$, associated double-trace operator with logarithmically running coupling just Maxwell action. Applying this dualization an AdS Maxwell-Chern-Simons theory $U(1) \times U(1)$ model 't Hooft anomaly results modified that...

We show that the N=1 supergravity theories in ten dimensions with gauge groups U(1){496} and E{8}×U(1){248} are not consistent quantum theories. Cancellation of anomalies cannot be made compatible supersymmetry Abelian invariance. Thus, all supersymmetric gravity without known inconsistencies realized string theory.

Metastable, supersymmetry-breaking configurations can be created in flux geometries by placing antibranes warped throats. Via gauge/gravity duality, such should have an interpretation as states the dual field theory. In this paper, we perturbatively determine asymptotic supergravity solutions corresponding to anti-D3-brane probes placed at tip of cascading deformed conifold geometry, which is SU(N+M) x SU(N) gauge The backreaction has effect introducing imaginary anti-self-dual flux,...

We begin a classification of the symmetry algebras arising on configurations type IIB [p, q] 7-branes.These include not just Kodaira symmetries that occur when branes coalesce into singularity, but also associated to other physically interesting brane cannot be collapsed.

In a previous paper we explored how conjugacy classes of the modular group classify symmetry algebras that arise on type IIB [p,q] 7-branes.The Kodaira list finite Lie completely fills elliptic as well some parabolic classes.

We investigate and classify Fermi surface behavior for a set of fermionic modes in family backgrounds holographically dual to $\mathcal{N}=4$ super-Yang-Mills theory at zero temperature with two distinct chemical potentials. numerically solve fluctuation equations every spin-$1/2$ field five-dimensional maximally supersymmetric gauged supergravity not mixing gravitini. Different manifest two, one, or singularities, all associated non-Fermi liquids, we calculate dispersion relations widths...

We obtain fermion fluctuation equations around extremal charged black hole geometries in maximal gauged supergravity four and five dimensions, we demonstrate that their solutions display Fermi surface singularities for the dual conformal field theories at finite chemical potential. The four-dimensional case is a massless fermion, while dimensions find massive with Pauli coupling. In both cases, corresponding scaling exponent less than one half, leading to non-Fermi liquid behavior no stable...

Recent developments have exposed close connections between quantum information and holography. In this paper, we explore the geometrical interpretations of recently introduced $Q$-correlation $R$-correlation, $E_Q$ $E_R$. We find that admits a natural geometric interpretation via surface-state correspondence: it is minimal mutual surface region $A$ cross-section $A$'s entanglement wedge with $B$. note strict trade-off symmetric side-channel assisted distillable from environment $E$ to $A$,...

We study the stability of Freund-Rubin compactifications, AdS_p x M_q, p+q-dimensional gravity theories with a q-form field strength and no cosmological term. show that general S^q vacuum is classically stable against small fluctuations, in sense all modes satisfy Breitenlohner-Freedman bound. In particular, compactifications used recent discussion proposed bosonic M-theory are perturbatively stable. Our analysis treats arising from graviton q-form, completely independent supersymmetry. From...

We study the coupled equations describing fluctuations of scalars and metric about background solutions N=8 gauged supergravity which are dual to boundary field theories with renormalization group flow. For case a kink solution single varying scalar, we develop procedure decouple equations, solve them in particular examples. However, difficulties occur calculation correlation functions from fluctuations, presumably because AdS/CFT correspondence has not yet been properly implemented...