778 research outputs found
Dualisation of the D=9 Matter Coupled Supergravity
We perform the bosonic dualisation of the matter coupled N=1, D=9
supergravity. We derive the Lie superalgebra which parameterizes the coset map
whose Cartan form realizes the second-order bosonic field equations. Following
the non-linear coset construction we present the first-order formulation of the
bosonic field equations as a twisted self-duality condition.Comment: 16 page
Representations of G+++ and the role of space-time
We consider the decomposition of the adjoint and fundamental representations
of very extended Kac-Moody algebras G+++ with respect to their regular A type
subalgebra which, in the corresponding non-linear realisation, is associated
with gravity. We find that for many very extended algebras almost all the A
type representations that occur in the decomposition of the fundamental
representations also occur in the adjoint representation of G+++. In
particular, for E8+++, this applies to all its fundamental representations.
However, there are some important examples, such as An+++, where this is not
true and indeed the adjoint representation contains no generator that can be
identified with a space-time translation. We comment on the significance of
these results for how space-time can occur in the non-linear realisation based
on G+++. Finally we show that there is a correspondence between the A
representations that occur in the fundamental representation associated with
the very extended node and the adjoint representation of G+++ which is
consistent with the interpretation of the former as charges associated with
brane solutions.Comment: 45 pages, 9 figures, 9 tables, te
Dualisation of the D=7 Heterotic String
The dualisation and the first-order formulation of the D=7 abelian Yang-Mills
supergravity which is the low energy effective limit of the D=7 fully Higssed
heterotic string is discussed. The non-linear coset formulation of the scalars
is enlarged to include the entire bosonic sector by introducing dual fields and
by constructing the Lie superalgebra which generates the dualized coset
element.Comment: 20 page
E11 and Spheric Vacuum Solutions of Eleven- and Ten dimensional Supergravity Theories
In view of the newly conjectured Kac-Moody symmetries of supergravity
theories placed in eleven and ten dimensions, the relation between these
symmetry groups and possible compactifications are examined. In particular, we
identify the relevant group cosets that parametrise the vacuum solutions of AdS
x S type.Comment: discussion improve
Nilpotent invariants in N=4 SYM
It is shown that there are no nilpotent invariants in N=4 analytic superspace
for points. It is argued that there is (at least) one such invariant
for n=5 points which is not invariant under U(1)_Y. The consequences of these
results are that the n=2 and 3 point correlation functions of the N=4
gauge-invariant operators which correspond to KK multiplets in AdS supergravity
are given exactly by their tree level expressions, the 4 point correlation
functions of such operators are invariant under U(1)_Y and correlation
functions with points have non-trivial dependence on the Yang-Mills
coupling constant.Comment: 9 page
The Six Dimensional Self-Dual Tensor
The equations of motion for a self-interacting self-dual tensor in six
dimensions are extracted from the equations describing the M-theory five-brane.
These equations are presented in a self-contained, six-dimensional
Lorentz-covariant form. In particular, it is shown that the field-strength
tensor satisfies a non-linear generalised self-duality constraint. The
self-duality equation is rewritten in five-dimensional notation and shown to be
identical to the corresponding equation in the non-covariant formalism.Comment: 8 pages, late
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
3-Point Functions in N=4 Yang-Mills
Three-point functions of analytic (chiral primary) operators in N=4
Yang-Mills theory in four dimensions are calculated using the harmonic
superspace formulation of this theory. In the case of the energy-momentum
tensor multiplet anomaly considerations determine the coefficient. Analyticity
in N=2 harmonic superspace is explicitly checked in a two-loop calculation.Comment: This file requires the feynman.tex macro Some references are adde
Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories
A description of the bosonic sector of ten-dimensional N=1 supergravity as a
non-linear realisation is given. We show that if a suitable extension of this
theory were invariant under a Kac-Moody algebra, then this algebra would have
to contain a rank eleven Kac-Moody algebra, that can be identified to be a
particular real form of very-extended D_8. We also describe the extension of
N=1 supergravity coupled to an abelian vector gauge field as a non-linear
realisation, and find the Kac-Moody algebra governing the symmetries of this
theory to be very-extended B_8. Finally, we discuss the related points for the
N=1 supergravity coupled to an arbitrary number of abelian vector gauge fields
E_{11} origin of Brane charges and U-duality multiplets
We derive general equations which determine the decomposition of the G^{+++}
multiplet of brane charges into the sub-algebras that arise when the
non-linearly realised G^{+++} theory is dimensionally reduced on a torus. We
apply this to calculate the low level E_8 multiplets of brane charges that
arise when the E_{8}^{+++}, or E_{11}, non-linearly realised theory is
dimensionally reduced to three dimensions on an eight dimensional torus. We
find precise agreement with the U-duality multiplet of brane charges previously
calculated, thus providing a natural eleven dimensional origin for the
"mysterious" brane charges found that do not occur as central charges in the
supersymmetry algebra. We also discuss the brane charges in nine dimensions and
how they arise from the IIA and IIB theories.Comment: 30 pages, plain te
- …