144 research outputs found
Simple holographic duals to boundary CFTs
By relaxing the regularity conditions imposed in arXiv:1107.1722 on half-BPS
solutions to six-dimensional Type~4b supergravity, we enlarge the space of
solutions to include two new half-BPS configurations, which we refer to as the
\kap\ and the \funnel. We give evidence that the \kap\ and \funnel\ can be
interpreted as fully back-reacted brane solutions with respectively and
world volumes. \kap\ and \funnel\ solutions with a single
asymptotic region are constructed analytically. We argue
that \kap\ solutions provide simple examples of holographic duals to boundary
CFTs in two dimensions and present calculations of their holographic boundary
entropy to support the BCFT dual picture.Comment: 37 pages, pdflatex, 5 figure
One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
We construct all supergravity theories that can be obtained through
factorized orbifold projections of N=8 supergravity, exposing their double-copy
structure, and calculate their one-loop four-point scattering amplitudes. We
observe a unified structure in both matter and gravity amplitudes, and
demonstrate that the four-graviton amplitudes are insensitive to the precise
nature of the matter couplings. We show that these amplitudes are identical for
the two different realizations of N=4 supergravity with two vector multiplets,
and argue that this feature extends to all multiplicities and loop orders as
well as to higher dimensions. We also construct a selected set of
supergravities obtained through a non-factorized orbifold action. Furthermore
we calculate one-loop four-point amplitudes for all pure super-Yang-Mills
theories with less-than-maximal supersymmetry using the duality between color
and kinematics, finding here a unified expression that holds for all four gluon
amplitudes in the theories. We recover the related amplitudes of factorized
N<=4 supergravities employing the double-copy construction. We observe a
requirement that the four-point loop-level amplitudes have non-local integrand
representations, exhibiting a mild non-locality in the form of inverse powers
of the three external Mandelstam invariants. These are the first loop-level
color-kinematic-satisfying representations in reduced supersymmetry theories.Comment: 41 pages, 3 figures, PDFLaTeX, section 3.2 expanded, version accepted
for publication in JHE
Weak solutions to problems involving inviscid fluids
We consider an abstract functional-differential equation derived from the
pressure-less Euler system with variable coefficients that includes several
systems of partial differential equations arising in the fluid mechanics. Using
the method of convex integration we show the existence of infinitely many weak
solutions for prescribed initial data and kinetic energy
String Junctions and Holographic Interfaces
In this paper we study half-BPS type IIB supergravity solutions with multiple
asymptotic regions, where is either or
. These solutions were first constructed in [1] and have geometries given
by the warped product of over , where
is a Riemann surface. We show that the holographic boundary has the
structure of a star graph, i.e. half-lines joined at a point. The attractor
mechanism and the relation of the solutions to junctions of self-dual strings
in six-dimensional supergravity are discussed. The solutions of [1] are
constructed introducing two meromorphic and two harmonic functions defined on
. We focus our analysis on solutions corresponding to junctions of
three different conformal field theories and show that the conditions for
having a solution charged only under Ramond-Ramond three-form fields reduce to
relations involving the positions of the poles and the residues of the relevant
harmonic and meromorphic functions. The degeneration limit in which some of the
poles collide is analyzed in detail. Finally, we calculate the holographic
boundary entropy for a junction of three CFTs and obtain a simple expression in
terms of poles and residues.Comment: 54 pages, 6 figures, pdf-LaTeX, v2: minor change
Janus Black Holes
In this paper Janus black holes in AdS3 are considered. These are static
solutions of an Einstein-scalar system with broken translation symmetry along
the horizon. These solutions are dual to interface conformal field theories at
finite temperature. An approximate solution is first constructed using
perturbation theory around a planar BTZ black hole. Numerical and exact
solutions valid for all sets of parameters are then found and compared. Using
the exact solution the thermodynamics of the system is analyzed. The entropy
associated with the Janus black hole is calculated and it is found that the
entropy of the black Janus is the sum of the undeformed black hole entropy and
the entanglement entropy associated with the defect.Comment: 28 pages, 2 figures, reference adde
The use of positive end expiratory pressure in patients affected by COVID-19: Time to reconsider the relation between morphology and physiology
Coronavirus disease 2019 (COVID-19) is a new disease with different phases that can be catastrophic for subpopulations of patients with cardiovascular and pulmonary disease states at baseline. Appreciation for these different phases and treatment modalities, including manipulation of ventilatory settings and therapeutics, has made it a less lethal disease than when it emerged earlier this year. Different aspects of the disease are still largely unknown. However, laboratory investigation and clinical course of the COVID-19 show that this new disease is not a typical acute respiratory distress syndrome process, especially during the first phase. For this reason, the best strategy to be applied is to treat differently the single phases and to support the single functions of the failing organs as they appear
Boundary entropy of supersymmetric Janus solutions
In this paper we compute the holographic boundary entropy for half-BPS Janus
deformations of the vacuum of type IIB
supergravity. Previous work \cite{Chiodaroli:2009yw} has shown that there are
two independent deformations of this sort. In one case, the six-dimensional
dilaton jumps across the interface, while the other case displays a jump of
axion and four-form potential. In case of a jump of the six-dimensional
dilaton, it is possible to compare the holographic result with the
weak-coupling result for a two-dimensional interface CFT where the radii of the
compactified bosons jump across the interface. We find exact agreement between
holographic and CFT results. This is to be contrasted with the holographic
calculation for the non-supersymmetric Janus solution, which agrees with the
CFT result only at the leading order in the jump parameter. We also examine the
implications of the holographic calculation in case of a solution with a jump
in the axion, which can be associated with a deformation of the CFT by the
-orbifold twist operator.Comment: 35 pages, pdf-LaTeX, 5 figures, v2: minor changes, typos corrected,
reference adde
Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
We define and study projective special para-Kahler manifolds and show that
they appear as target manifolds when reducing five-dimensional vector
multiplets coupled to supergravity with respect to time. The dimensional
reductions with respect to time and space are carried out in a uniform way
using an epsilon-complex notation. We explain the relation of our formalism to
other formalisms of special geometry used in the literature. In the second part
of the paper we investigate instanton solutions and their dimensional lifting
to black holes. We show that the instanton action, which can be defined after
dualising axions into tensor fields, agrees with the ADM mass of the
corresponding black hole. The relation between actions via Wick rotation, Hodge
dualisation and analytic continuation of axions is discussed.Comment: 72 pages, 2 figure
Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
We present a method which allows to deform extremal black hole solutions into
non-extremal solutions, for a large class of supersymmetric and
non-supersymmetric Einstein-Vector-Scalar type theories. The deformation is
shown to be largely independent of the details of the matter sector. While the
line element is dressed with an additional harmonic function, the attractor
equations for the scalars remain unmodified in suitable coordinates, and the
values of the scalar fields on the outer and inner horizon are obtained from
their fixed point values by making specific substitutions for the charges. For
a subclass of models, which includes the five-dimensional STU-model, we find
explicit solutions.Comment: 33 page
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