5,599 research outputs found
Universality Classes of Scale Invariant Inflation
We investigate the inflationary implications of extensions of Poincare
symmetry. The simplest constructions with local scale invariance lead to
universal predictions: the spectral index is , in excellent
agreement with Planck data, while the tensor-to-scalar ratio is determined by a
free parameter to . For the special value one
finds symmetry enhancement to the full conformal group. We show that these
findings hold both for two-derivative scalar-tensor theories as well as
higher-derivative gravity. Therefore scale invariance underlies a promising set
of inflationary models.Comment: 6 pages, 1 figur
Twin Supergravities
We study the phenomenon that pairs of supergravities can have identical
bosonic field content but different fermionic extensions. Such twin theories
are classified and shown to originate as truncations of a common theory with
more supersymmetry. Moreover, we discuss the possible gaugings and scalar
potentials of twin theories. This allows to pinpoint to which extent these
structures are determined by the purely bosonic structure of the underlying
Kac-Moody algebras and where supersymmetry comes to plays its role. As an
example, we analyze the gaugings of the six-dimensional N=(0,1) and N=(2,1)
theories with identical bosonic sector and explicitly work out their scalar
potentials. The discrepancy between the potentials finds a natural explanation
within maximal supergravity, in which both theories may be embedded.Comment: 27 pages. v2: ref added, published versio
General sGoldstino Inflation
We prove that all inflationary models, including those with dark energy after
the end of inflation, can be embedded in minimal supergravity with a single
chiral superfield. Moreover, the amount of supersymmetry breaking is
independently tunable due to a degeneracy in the choice for the superpotential.
The inflaton is a scalar partner of the Goldstino in this set-up. We illustrate
our general procedure with two examples that are favoured by the Planck data.Comment: 6 pages, 6 figures; v2: refs added, published versio
Cosmological Attractors from -Scale Supergravity
The Planck value of the spectral index can be interpreted as
in terms of the number of e-foldings . An appealing explanation for this
phenomenological observation is provided by -attractors: the
inflationary predictions of these supergravity models are fully determined by
the curvature of the Kahler manifold. We provide a novel formulation of
-attractors which only involves a single chiral superfield. Our
construction involves a natural deformation of no-scale models, and employs
these to construct a De Sitter plateau with an exponential fall-off. Finally,
we show how analogous structures with a flat Kahler geometry arise as a
singular limit of such -scale models.Comment: 6 pages, 3 figures. v3: minor clarifications and refs added. PRD
versio
Lobotomy of Flux Compactifications
We provide the dictionary between four-dimensional gauged supergravity and
type II compactifications on with metric and gauge fluxes in the
absence of supersymmetry breaking sources, such as branes and orientifold
planes. Secondly, we prove that there is a unique isotropic compactification
allowing for critical points. It corresponds to a type IIA background given by
a product of two 3-tori with SO(3) twists and results in a unique theory
(gauging) with a non-semisimple gauge algebra. Besides the known four AdS
solutions surviving the orientifold projection to induced by
O6-planes, this theory contains a novel AdS solution that requires non-trivial
orientifold-odd fluxes, hence being a genuine critical point of the
theory.Comment: 44 pages (33 pages + appendices), 13 tables, 3 figure
Galileons as the Scalar Analogue of General Relativity
We establish a correspondence between general relativity with diffeomorphism
invariance and scalar field theories with Galilean invariance: notions such as
the Levi-Civita connection and the Riemann tensor have a Galilean counterpart.
This suggests Galilean theories as the unique nontrivial alternative to gauge
theories (including general relativity). Moreover, it is shown that the
requirement of first-order Palatini formalism uniquely determines the Galileon
models with second-order field equations, similar to the Lovelock gravity
theories. Possible extensions are discussed.Comment: 6 pages, v2: Version appeared in Phys. Rev.
Higher Derivative Field Theories: Degeneracy Conditions and Classes
We provide a full analysis of ghost free higher derivative field theories
with coupled degrees of freedom. Assuming the absence of gauge symmetries, we
derive the degeneracy conditions in order to evade the Ostrogradsky ghosts, and
analyze which (non)trivial classes of solutions this allows for. It is shown
explicitly how Lorentz invariance avoids the propagation of "half" degrees of
freedom. Moreover, for a large class of theories, we construct the field
redefinitions and/or (extended) contact transformations that put the theory in
a manifestly first order form. Finally, we identify which class of theories
cannot be brought to first order form by such transformations.Comment: 26 pages, 1 figure. v2: minor changes, references added, matches
version published in JHE
On the Three Primordial Numbers
Cosmological observations have provided us with the measurement of just three
numbers that characterize the very early universe: , and
. Although each of the three numbers individually carries
limited information about the physics of inflation, one may hope to extract
non-trivial information from relations among them. Invoking minimality, namely
the absence of ad hoc large numbers, we find two viable and mutually exclusive
inflationary scenarios. The first is the well-known inverse relation between
and . The second implies a new relation between
and , which might provide us with a handle on the beginning of
inflation and predicts the intriguing bound on the
tensor-to-scalar ratio ( CL).Comment: 5 pages, 3 figure
An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
We present a novel approach to classify supersymmetric effective field
theories (EFTs) whose scattering amplitudes exhibit enhanced soft limits. These
enhancements arise due to non-linearly realised symmetries on the Goldstone
modes of such EFTs and we classify the algebras that these symmetries can form.
Our main focus is on so-called exceptional algebras which lead to
field-dependent transformation rules and EFTs with the maximum possible soft
enhancement at a given derivative power counting. We adapt existing techniques
for Poincar\'{e} invariant theories to the supersymmetric case, and introduce
superspace inverse Higgs constraints as a method of reducing the number of
Goldstone modes while maintaining all symmetries.
Restricting to the case of a single Goldstone supermultiplet in four
dimensions, we classify the exceptional algebras and EFTs for a chiral, Maxwell
or real linear supermultiplet. Moreover, we show how our algebraic approach
allows one to read off the soft weights of the different component fields from
superspace inverse Higgs trees, which are the algebraic cousin of the on-shell
soft data one provides to soft bootstrap EFTs using on-shell recursion. Our
Lie-superalgebraic approach extends the results of on-shell methods and
provides a complementary perspective on non-linear realisations
- âŠ