20 research outputs found
Holographic renormalization and supersymmetry
Holographic renormalization is a systematic procedure for regulating
divergences in observables in asymptotically locally AdS spacetimes. For dual
boundary field theories which are supersymmetric it is natural to ask whether
this defines a supersymmetric renormalization scheme. Recent results in
localization have brought this question into sharp focus: rigid supersymmetry
on a curved boundary requires specific geometric structures, and general
arguments imply that BPS observables, such as the partition function, are
invariant under certain deformations of these structures. One can then ask if
the dual holographic observables are similarly invariant. We study this
question in minimal N = 2 gauged supergravity in four and five dimensions. In
four dimensions we show that holographic renormalization precisely reproduces
the expected field theory results. In five dimensions we find that no choice of
standard holographic counterterms is compatible with supersymmetry, which leads
us to introduce novel finite boundary terms. For a class of solutions
satisfying certain topological assumptions we provide some independent tests of
these new boundary terms, in particular showing that they reproduce the
expected VEVs of conserved charges.Comment: 70 pages; corrected typo
Scalar geometry and masses in Calabi-Yau string models
We study the geometry of the scalar manifolds emerging in the no-scale sector
of Kahler moduli and matter fields in generic Calabi-Yau string
compactifications, and describe its implications on scalar masses. We consider
both heterotic and orientifold models and compare their characteristics. We
start from a general formula for the Kahler potential as a function of the
topological compactification data and study the structure of the curvature
tensor. We then determine the conditions for the space to be symmetric and show
that whenever this is the case the heterotic and the orientifold models give
the same scalar manifold. We finally study the structure of scalar masses in
this type of geometries, assuming that a generic superpotential triggers
spontaneous supersymmetry breaking. We show in particular that their behavior
crucially depends on the parameters controlling the departure of the geometry
from the coset situation. We first investigate the average sGoldstino mass in
the hidden sector and its sign, and study the implications on vacuum
metastability and the mass of the lightest scalar. We next examine the soft
scalar masses in the visible sector and their flavor structure, and study the
possibility of realizing a mild form of sequestering relying on a global
symmetry.Comment: 36 pages, no figure
Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
We study the possibility of achieving metastable de Sitter vacua in general
N=2 to N=1 truncated supergravities without vector multiplets, and compare with
the situations arising in N=2 theories with only hypermultiplets and N=1
theories with only chiral multiplets. In N=2 theories based on a quaternionic
manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable,
as a result of the peculiar properties of the geometry. In N=1 theories based
on a Kahler manifold and a superpotential, de Sitter vacua can instead be
metastable provided the geometry satisfies some constraint and the
superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial
requirement is then that the tachyon of the mother theory be projected out from
the daughter theory, so that the original unstable vacuum is projected to a
metastable vacuum. We study the circumstances under which this may happen and
derive general constraints for metastability on the geometry and the gauging.
We then study in full detail the simplest case of quaternionic manifolds of
dimension four with at least one isometry, for which there exists a general
parametrization, and study two types of truncations defining Kahler
submanifolds of dimension two. As an application, we finally discuss the case
of the universal hypermultiplet of N=2 superstrings and its truncations to the
dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in
such theories are necessarily unstable in weakly coupled situations, while they
can in principle be metastable in strongly coupled regimes.Comment: 40 pages, no figure
Naturalised Vitis Rootstocks in Europe and Consequences to Native Wild Grapevine
The genus Vitis is represented by several coexisting species in Europe. Our study focuses on naturalised rootstocks that originate in viticulture. The consequences of their presence to the landscape and to native European species (Vitis vinifera ssp. silvestris) are evaluated. This study compares ecological traits (seven qualitative and quantitative descriptors) and the genetic diversity (10 SSR markers) of populations of naturalised rootstocks and native wild grapevines. 18 large naturalised rootstock populations were studied in the RhĂ´ne watershed. Wild European grapevines are present in four main habitats (screes, alluvial forests, hedges, and streamside hedges). In contrast, naturalised rootstock populations are mainly located in alluvial forests, but they clearly take advantage of alluvial system dynamics and connectivity at the landscape level. These latter populations appear to reproduce sexually, and show a higher genetic diversity than Vitis vinifera ssp. silvestris. The regrouping of naturalised rootstocks in interconnected populations tends to create active hybrid swarms of rootstocks. The rootstocks show characters of invasive plants. The spread of naturalised rootstocks in the environment, the acceleration of the decline of the European wild grapevine, and the propagation of genes of viticultural interest in natural populations are potential consequences that should be kept in mind when undertaking appropriate management measures
Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
We consider bosonic supersymmetric backgrounds of ten-dimensional conformal
supergravity. Up to local conformal isometry, we classify the maximally
supersymmetric backgrounds, determine their conformal symmetry superalgebras
and show how they arise as near-horizon geometries of certain half-BPS
backgrounds or as a plane-wave limit thereof. We then show how to define
Yang-Mills theory with rigid supersymmetry on any supersymmetric conformal
supergravity background and, in particular, on the maximally supersymmetric
backgrounds. We conclude by commenting on a striking resemblance between the
supersymmetric backgrounds of ten-dimensional conformal supergravity and those
of eleven-dimensional Poincar\'e supergravity.Comment: 30 page