16 research outputs found
Solutions and Democratic Formulation of Supergravity Theories in Four Dimensions
Tesis doctoral inédita. Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Física Teórica. Fecha de lectura: 15-06-0
Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
In this article we complete the classification of the supersymmetric
solutions of N=2 D=4 ungauged supergravity coupled to an arbitrary number of
vector- and hypermultiplets. We find that in the timelike case the
hypermultiplets cause the constant-time hypersurfaces to be curved and have
su(2) holonomy identical to that of the hyperscalar manifold. The solutions
have the same structure as without hypermultiplets but now depend on functions
which are harmonic in the curved 3-dimensional space. We discuss an example
obtained from a hyper-less solution via the c-map. In the null case we find
that the hyperscalars can only depend on the null coordinate and the solutions
are essentially those of the hyper-less case.Comment: 27 pages, latex2
The supersymmetric tensor hierarchy of N=1,d=4 supergravity
In this paper we construct the supersymmetric tensor hierarchy of N=1, d=4
supergravity. We find some differences with the general bosonic construction of
4-dimensional gauged supergravities.
The global symmetry group of N=1,d=4 supergravity consists of three factors:
the scalar manifold isometry group, the invariance group of the complex vector
kinetic matrix and the U(1) R-symmetry group. In contrast to (half)-maximal
supergravities, the latter two symmetries are not embedded into the isometry
group of the scalar manifold. We identify some components of the embedding
tensor with Fayet-Iliopoulos terms and we find that supersymmetry implies that
the inclusion of R-symmetry as a factor of the global symmetry group requires a
non-trivial extension of the standard p-form hierarchy. This extension involves
additional 3- and 4-forms. One additional 3-form is dual to the superpotential
(seen as a deformation of the simplest theory).
We study the closure of the supersymmetry algebra on all the bosonic p-form
fields of the hierarchy up to duality relations. In order to close the
supersymmetry algebra without the use of duality relations one must construct
the hierarchy in terms of supermultiplets. Such a construction requires
fermionic duality relations among the hierarchy's fermions and these turn out
to be local.Comment: Latex2e, 42 pages, no figures Improved version to be published in
JEH
Domain walls and instantons in N=1, d=4 supergravity
We study the supersymmetric sources of (multi-) domain-wall and (multi-)
instanton solutions of generic N=1, d=4 supergravities, that is: the
worldvolume effective actions for said supersymmetric topological defects. The
domain-wall solutions naturally couple to the two 3-forms recently found as
part of the N=1, d=4 tensor hierarchy (i.e. they have two charges in general)
and their tension is the absolute value of the superpotential section L. The
introduction of sources (we study sources with finite and vanishing thickness)
is equivalent to the introduction of local coupling constants and results in
dramatic changes of the solutions. Our results call for a democratic
reformulation of N=1,d=4 supergravity in which coupling constants are,
off-shell, scalar fields. The effective actions for the instantons are always
proportional to the coordinate orthogonal to the twist-free embedding of the
null-geodesic (in the Wick-rotated scalar manifold) describing the instanton.
We show their supersymmetry and find the associated supersymmetric (multi-)
instanton solutions.Comment: 34 pages, 4 figures, references adde
Gauge Theories, Duality Relations and the Tensor Hierarchy
We compute the complete 3- and 4-dimensional tensor hierarchies, i.e. sets of
p-form fields, with , which realize an off-shell algebra of
bosonic gauge transformations. We show how these tensor hierarchies can be put
on-shell by introducing a set of duality relations, thereby introducing
additional scalars and a metric tensor. These so-called duality hierarchies
encode the equations of motion of the bosonic part of the most general gauged
supergravity theories in those dimensions, including the (projected) scalar
equations of motion. We construct gauge-invariant actions that include all the
fields in the tensor hierarchies. We elucidate the relation between the gauge
transformations of the p-form fields in the action and those of the same fields
in the tensor hierarchy.Comment: 48 pages, v2: number of clarifications, ref. added, to appear in JHE
Stringy cosmic strings in matter coupled N=2, d=4 supergravity
We extend the system of ungauged N=2, d=4 supergravity coupled to vector
multiplets and hypermultiplets with 2-form potentials. The maximal number of
2-form potentials that one may introduce is equal to the number of isometries
of either the special Kaehler or quaternionic Kaehler sigma model. We show that
the local supersymmetry algebra can be realized on the 2-form potentials. These
2-forms couple electrically to strings which we refer to as stringy cosmic
strings. The 1/2 BPS bosonic world-sheet actions for these strings are
constructed and we discuss the properties of the 1/2 BPS stringy cosmic string
solutions.Comment: 36 pages, added references, corrected typos, modificated Appendix