883 research outputs found
N=8 Supergravity 4-point Amplitudes
We present the explicit expressions in N=8 supergravity for the bosonic
4-particle tree and 1-loop amplitudes including vectors and scalars. We also
present the candidate 4-point UV divergences in a form of helicity amplitudes,
corresponding to 3-loop manifestly N=8 supersymmetric and Lorentz covariant
counterterm. This may shed some light on the 3-loop finiteness of N=8 SG and on
a conjectured higher loop finiteness. We perform a supersymmetric deformation
to complex momentum of the 4-point generating function including higher-loop
counterterms and the 1-loop UV finite amplitudes. Using the explicit form of
the scalar part of the 3-loop counterterm and of the 1-loop UV finite scalar
4-point amplitudes we find that they both have an unbroken E7 symmetry. We
derive from E7 symmetry the low-energy theorem for the 1-loop n-point
amplitudes.Comment: 23 p, 4 figure
P-term Potentials from 4-D Supergravity
P-term inflation arises in some models of brane inflation. Within N=2
supersymmetry the scalar potential contains a vector of Fayet-Iliopoulos (FI)
terms . Depending on the direction of this vector it is possible to get
D-term and F-term inflation or a mix of these models. In this paper we review
the problems of embedding the P-term model in supergravity and show how these
can be solved by considering the truncation from an N=2 theory to N=1. We show
that with a simple gauging the scalar potential can include F-term or D-term
parts but not both. The gauging can be altered so that both F-terms and D-terms
containing FI constants can be included. In all cases we display the
inflationary trajectory and, if it exists, the supersymmetric minimum.Comment: 21 pages, no figure
Duality, Central Charges and Entropy of Extremal BPS Black Holes
We report on some general results on the physics of extremal BPS black holes
in four and five dimensions. The duality-invariant entropy-formula for all
extended supergravities is derived. Its relation with the fixed-scalar
condition for the black-hole ``potential energy'' wich extremizes the BPS mass
is obtained. BPS black holes preserving different fractions of supersymmetry
are classified in a U-duality invariant set up. The latter deals with different
orbits of the fundamental representations of the exceptional groups
and . We comment upon the interpretation of these results in a string
and M-theory framework.Comment: 12 pages, LaTeX; Talk given by S. Ferrara at the STRINGS'97
Conference, 16-21 June 1997, Amsterdam, The Netherland
E{7(7)} Symmetry and Finiteness of N=8 Supergravity
We study N=8 supergravity deformed by the presence of the candidate
counterterms. We show that even though they are invariant under undeformed
E{7(7)}, all of the candidate counterterms violate the deformed E{7(7)} current
conservation. The same conclusion follows from the uniqueness of the Lorentz
and SU(8) covariant, E{7(7)} invariant unitarity constraint expressing the
56-dimensional E{7(7)} doublet via 28 independent vectors. Therefore E{7(7)}
duality predicts the all-loop UV finiteness of perturbative N=8 supergravity.Comment: 18 page
N=8 BPS Black Holes with 1/2 or 1/4 Supersymmetry and Solvable Lie Algebra Decompositions
In the context of N=8 supergravity we construct the general form of BPS
0--branes that preserve either 1/2 or 1/4 of the original supersymmetry. We
show how such solutions are related to suitable decompositions of the 70
dimensional solvable Lie algebra that describes the scalar field sector. We
compare our new results to those obtained in a previous paper for the case of
1/8 supersymmetry preserving black holes. Each of the three cases is based on a
different solvable Lie algebra decomposition and leads to a different structure
of the scalar field evolution and of their fixed values at the horizon of the
black hole.Comment: first section restructured, typos corrected, 1 LaTeX file, 37 pages,
2 eps-figure
Near-Horizon Supergravity Superspace
We present a construction of the superspace of maximally supersymmetric
adS_{p+2} x S^{d-p-2} near-horizon geometry based entirely on the supergravity
constraints of which the bosonic space is a solution. Besides the geometric
superfields, i.e. the vielbeine and the spinconnection, we also derive the
isometries of the superspace together with the compensating tangent space
transformations to all orders in anticommuting superspace coordinates.Comment: 6 pages, contribution to the proceedings of the "mid-term TMR meeting
on Quantum Aspects Theories, Supersymmetry and Unification", Corfu, September
20-26, 199
N=8 Counterterms and E7(7) Current Conservation
We examine conservation of the E7(7) Noether-Gaillard-Zumino current in the
presence of N=8 supergravity counterterms using the momentum space helicity
formalism, which significantly simplifies the calculations. The main result is
that the 4-point counterterms at any loop order L are forbidden by the E7(7)
current conservation identity. We also clarify the relation between linearized
and full non-linear superinvariants as candidate counterterms. This enables us
to show that all n-point counterterms at L=7, 8 are forbidden since they
provide a non-linear completions of the 4-point ones. This supports and
exemplifies our general proof in arXiv:1103.4115 of perturbative UV finiteness
of N=8 supergravity.Comment: 18 page
First Order Description of Black Holes in Moduli Space
We show that the second order field equations characterizing extremal
solutions for spherically symmetric, stationary black holes are in fact implied
by a system of first order equations given in terms of a prepotential W. This
confirms and generalizes the results in [14]. Moreover we prove that the
squared prepotential function shares the same properties of a c-function and
that it interpolates between M^2_{ADM} and M^2_{BR}, the parameter of the
near-horizon Bertotti-Robinson geometry. When the black holes are solutions of
extended supergravities we are able to find an explicit expression for the
prepotentials, valid at any radial distance from the horizon, which reproduces
all the attractors of the four dimensional N>2 theories. Far from the horizon,
however, for N-even our ansatz poses a constraint on one of the U-duality
invariants for the non-BPS solutions with Z \neq 0. We discuss a possible
extension of our considerations to the non extremal case.Comment: Some points clarified, a comment on the interpretation of the
prepotential W in terms of c-function added, typos corrected. Version to
appear on JHE
Vacua of M-theory and string theory
We argue that supersymmetric higher-dimension operators in the effective
actions of M-theory and IIB string theory do not affect the maximally
supersymmetric vacua: and in M-theory and
in IIB string theory. All these vacua are described in
superspace by a fixed point with all components of supertorsion and
supercurvature being supercovariantly constant. This follows from 32 unbroken
supersymmetries and allows us to prove that such vacua are exact.Comment: 16 pages, late
N=2 supergravity models with stable de Sitter vacua
In the present talk I shall review the construction of N=2 supergravity
models exhibiting stable de Sitter vacua. These solutions represent the first
instance of stable backgrounds with positive cosmological constant in the
framework of extended supergravities (N >=2). After briefly reviewing the role
of de Sitter space--times in inflationary cosmology, I shall describe the main
ingredients which were necessary for the construction of gauged N=2
supergravity models admitting stable solutions of this kind.Comment: Prepared for Workshop on the Quantum Structure of Spacetime and the
Geometric Nature of Fundamental Interactions, Leuven, Belgium, September
13-19 200
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