14 research outputs found
Killing Spinor Equations from Nonlinear Realisations
Starting from a nonlinear realisation of eleven dimensional supergravity
based on the group G11, whose generators appear as low level generators of E11,
we present a super extended algebra, which leads to a covariant derivative of
spinors identical to the Killing spinor equation of this theory. A similar
construction leads to the Killing spinor equation of N=1 pure supergravity in
ten dimensions.Comment: 16 pages, typos correcte
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
Kac-Moody Symmetries of IIB Supergravity
We formulate the bosonic sector of IIB supergravity as a non-linear
realisation. We show that this non-linear realisation contains the Borel
subalgebras of SL(11) and and argue that it can be enlarged so as to be
based on the rank eleven Kac-Moody algebra Comment: 12 pages, plain te
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
Massive IIA Supergravity as a Non-linear Realisation
A description of the bosonic sector of massive IIA supergravity as a
non-linear realisation is given. An essential feature of this construction is
that the momentum generators have non-trivial commutation relations with the
generators associated with the gauge fields.Comment: 13 page