915 research outputs found
The E_{11} origin of all maximal supergravities
Starting from the eleven dimensional E_{11} non-linear realisation of
M-theory we compute all possible forms, that is objects with totally
antisymmetrised indices, that occur in four dimensions and above as well as all
the 1-forms and 2-forms in three dimensions. In any dimension D, the D-1-forms
lead to maximal supergravity theories with cosmological constants and they are
in precise agreement with the patterns of gauging found in any dimension using
supersymmetry. The D-forms correspond to the presence of space-filling branes
which are crucial for the consistency of orientifold models and have not been
derived from an alternative approach, with the exception of the 10-dimensional
case. It follows that the gaugings of supergravities and the spacetime-filling
branes possess an eleven dimensional origin within the E_{11} formulation of
M-theory. This and previous results very strongly suggest that all the fields
in the adjoint representation of E_{11} have a physical interpretation.Comment: 54 page
IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
We show that IIA supergravity can be extended with two independent 10-form
potentials. These give rise to a single BPS IIA 9-brane. We investigate the
bosonic gauge algebra of both IIA and IIB supergravity in the presence of
10-form potentials and point out an intriguing relation with the symmetry
algebra , which has been conjectured to be the underlying symmetry of
string theory/M-theory.Comment: 18 pages, section on IIA 9-branes added, references added; version to
be publishe
Non-propagating degrees of freedom in supergravity and very extended G_2
Recently a correspondence between non-propagating degrees of freedom in
maximal supergravity and the very extended algebra E_11 has been found. We
perform a similar analysis for a supergravity theory with eight supercharges
and very extended G_2. In particular, in the context of d=5 minimal
supergravity, we study whether supersymmetry can be realised on higher-rank
tensors with no propagating degrees of freedom. We find that in this case the
very extended algebra fails to capture these possibilities.Comment: 12 pages, 1 figure. v2: transformation properties of higher-rank
tensors under SU(2) R-symmetry analysed and refs added. v3: improved
discussion, published versio
E_{11}, ten forms and supergravity
We extend the previously given non-linear realisation of E_{11} for the
decomposition appropriate to IIB supergravity to include the ten forms that
were known to be present in the adjoint representation. We find precise
agreement with the results on ten forms found by closing the IIB supersymmetry
algebra.Comment: 14 page
A Note on E11 and Three-dimensional Gauged Supergravity
We determine the gauge symmetries of all p-forms in maximal three-dimensional
gauged supergravity by requiring invariance of the Lagrangian. It is shown that
in a particular ungauged limit these symmetries are in precise correspondence
to those predicted by the very-extended Kac-Moody algebra E11. We demonstrate
that whereas in the ungauged limit the bosonic gauge algebra closes off-shell,
the closure is only on-shell in the full gauged theory. This underlines the
importance of dynamics for understanding the Kac-Moody origin of the symmetries
of gauged supergravity.Comment: Published versio
K(E10), Supergravity and Fermions
We study the fermionic extension of the E10/K(E10) coset model and its
relation to eleven-dimensional supergravity. Finite-dimensional spinor
representations of the compact subgroup K(E10) of E(10,R) are studied and the
supergravity equations are rewritten using the resulting algebraic variables.
The canonical bosonic and fermionic constraints are also analysed in this way,
and the compatibility of supersymmetry with local K(E10) is investigated. We
find that all structures involving A9 levels 0,1 and 2 nicely agree with
expectations, and provide many non-trivial consistency checks of the existence
of a supersymmetric extension of the E10/K(E10) coset model, as well as a new
derivation of the `bosonic dictionary' between supergravity and coset
variables. However, there are also definite discrepancies in some terms
involving level 3, which suggest the need for an extension of the model to
infinite-dimensional faithful representations of the fermionic degrees of
freedom.Comment: 50 page
On the underlying E11 symmetry of the D=11 Free Differential Algebra
We study the reduction of the Free Differential Algebra (FDA) of D=11
supergravity to an ordinary algebra. We show that in flat background and with
vanishing three-form field strength, the corresponding minimal FDA can be
reduced to an Inonu-Wigner contraction of Sezgin's M-Algebra. We also prove
that in flat background but with a non trivial three-form field strength, the
bosonic FDA can be reduced to the lowest levels of E11. This result suggests
that the E11 symmetries, which act on perturbative states as well, are already
encoded in the D=11 FDA and are made explicit when the theory is formulated on
a enlarged group manifold.Comment: 25 pages, LaTeX, typos corrected, final version published in JHE
Curvature corrections and Kac-Moody compatibility conditions
We study possible restrictions on the structure of curvature corrections to
gravitational theories in the context of their corresponding Kac--Moody
algebras, following the initial work on E10 in Class. Quant. Grav. 22 (2005)
2849. We first emphasize that the leading quantum corrections of M-theory can
be naturally interpreted in terms of (non-gravity) fundamental weights of E10.
We then heuristically explore the extent to which this remark can be
generalized to all over-extended algebras by determining which curvature
corrections are compatible with their weight structure, and by comparing these
curvature terms with known results on the quantum corrections for the
corresponding gravitational theories.Comment: 27 page
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
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