29 research outputs found
Subsectors, Dynkin Diagrams and New Generalised Geometries
We examine how generalised geometries can be associated with a labelled
Dynkin diagram built around a gravity line. We present a series of new
generalised geometries based on the groups
for which the generalised tangent space
transforms in a spinor representation of the group. In low dimensions these all
appear in subsectors of maximal supergravity theories. The case provides
a geometry for eight-dimensional backgrounds of M theory with only seven-form
flux, which have not been included in any previous geometric construction. This
geometry is also one of a series of "half-exceptional" geometries, which
"geometrise" a six-form gauge field. In the appendix, we consider examples of
other algebras appearing in gravitational theories and give a method to derive
the Dynkin labels for the "section condition" in general. We argue that
generalised geometry can describe restrictions and subsectors of many
gravitational theories.Comment: 42 pages, v2: minor improvements and changes, published versio
Generalised Geometry and type II Supergravity
Ten-dimensional type II supergravity can be reformulated as a generalised
geometrical analogue of Einstein gravity, defined by an structure on the generalised tangent
space. To leading order in the fermion fields, this allow one to rewrite the
action, equations of motion and supersymmetry variations in a simple,
manifestly -covariant form.Comment: 5 pages, contribution to the proceedings of the XVII European
Workshop on String Theory 2011, Padua, Italy, to appear in Fortschritte der
Physi
On symmetries and dynamics of exotic supermultiplets
© 2021 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 - https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.Among the allowed representations of extended supersymmetry in six dimensions there are exotic chiral multiplets that, instead of a graviton, contain mixed-symmetry spin-2 tensor fields. Notably, an N = (4, 0) multiplet has a four index exotic graviton and it was conjectured that an interacting theory based on this multiplet could arise as a strong coupling limit of M theory compactified on T 6. We present an algebraic study of these multiplets and their possible embedding into the framework of exceptional field theory, finding in particular that the six-dimensional momenta do not correspond to a conventional space-time section. When compactified on a circle, the six-dimensional multiplets give rise to the same degrees of freedom as five-dimensional supergravity theories with the same number of supersymmetries. However, by considering anomalies (computed using the product multiplets construction) and the generation of Chern-Simons couplings, we find reason to doubt that their dynamics will agree with the five-dimensional gravity theories. We propose an alternative picture, similar to F-theory, in which particular fixed-volume T 3-fibered space-times play a central role, suggesting that only on compactification to three-dimensions will one make contact with the dynamics of supergravity.Peer reviewe
Exceptional generalised geometry for massive IIA and consistent reductions
We develop an exceptional generalised geometry formalism for massive type IIA
supergravity. In particular, we construct a deformation of the generalised Lie
derivative, which generates the type IIA gauge transformations as modified by
the Romans mass. We apply this new framework to consistent Kaluza-Klein
reductions preserving maximal supersymmetry. We find a generalised
parallelisation of the exceptional tangent bundle on S^6, and from this
reproduce the consistent truncation ansatz and embedding tensor leading to
dyonically gauged ISO(7) supergravity in four dimensions. We also discuss
closely related hyperboloid reductions, yielding a dyonic ISO(p,7-p) gauging.
Finally, while for vanishing Romans mass we find a generalised parallelisation
on S^d, d=4,3,2, leading to a maximally supersymmetric reduction with gauge
group SO(d+1) (or larger), we provide evidence that an analogous reduction does
not exist in the massive theory.Comment: 69 pages; v2: version published in JHE