57 research outputs found
Extended Bargmann supergravity from a Lie algebra expansion
In this paper we show how the method of Lie algebra expansions may be used to
obtain, in a simple way, both the extended Bargmann Lie superalgebra and the
Chern-Simons action associated to it in three dimensions, starting from ,
superPoincar\'e and its corresponding Chern-Simons
supergravity.Comment: 17 page
On a class of n-Leibniz deformations of the simple Filippov algebras
We study the problem of the infinitesimal deformations of all real, simple,
finite-dimensional Filippov (or n-Lie) algebras, considered as a class of
n-Leibniz algebras characterized by having an n-bracket skewsymmetric in its
n-1 first arguments. We prove that all n>3 simple finite-dimensional Filippov
algebras are rigid as n-Leibniz algebras of this class. This rigidity also
holds for the Leibniz deformations of the semisimple n=2 Filippov (i.e., Lie)
algebras. The n=3 simple FAs, however, admit a non-trivial one-parameter
infinitesimal 3-Leibniz algebra deformation. We also show that the
simple Filippov algebras do not admit non-trivial central extensions as
n-Leibniz algebras of the above class.Comment: 19 pages, 30 refs., no figures. Some text rearrangements for better
clarity, misprints corrected. To appear in J. Math. Phy
Spacetime scale-invariant super-p-brane actions on enlarged superspaces and the geometry of kappa-symmetry
We use the additional variables of suitably enlarged superspaces to write new
actions for extended objects, with kappa-symmetry, in such a way that the
tension emerges from them as an integration constant. Our actions correspond to
the spacetime scale-invariant ones previously considered by Bergshoeff et al.
once the worldvolume forms introduced there are reinterpreted in terms of
fields associated with the coordinates of the enlarged superspaces. It is shown
that the kappa-symmetry of the new actions is given by a certain type of right
local transformations of the extended superspace groups. Further, we also show
that the enlarged superspaces that allow for strictly invariant Wess-Zumino
terms also lead to strict kappa-invariance i.e., the Lagrangian itself (not
only the action) is both supersymmetry- and kappa-invariant.Comment: 23 pages, no figures. A clarifying comment and a reference adde
Contractions of Filippov algebras
We introduce in this paper the contractions of -Lie (or
Filippov) algebras and show that they have a semidirect
structure as their Lie algebra counterparts. As an example, we compute
the non-trivial contractions of the simple Filippov algebras. By
using the \.In\"on\"u-Wigner and the generalized Weimar-Woods contractions of
ordinary Lie algebras, we compare (in the simple case)
the Lie algebras Lie (the Lie algebra of inner endomorphisms
of ) with certain contractions
and of
the Lie algebra Lie associated with .Comment: plain latex, 36 pages. A few misprints corrected. This v3 is actually
v2 (v1 had been replaced by itself by error). To appear in J. Math. Phy
Supergravity interacting with bosonic p-branes and local supersymmetry
We study the coupling of supergravity with a purely bosonic brane source
(bosonic p-brane). The interaction, described by the sum of their respective
actions, is self-consistent if the bosonic p-brane is the pure bosonic limit of
a super-p-brane. In that case the dynamical system preserves 1/2 of the local
supersymmetry characteristic of the `free' supergravity.Comment: 11 pages, RevTe
Generalized curvature and the equations of D=11 supergravity
It is known that, for zero fermionic sector, the bosonic equations of
Cremmer-Julia-Scherk eleven-dimensional supergravity can be collected in a
compact expression which is a condition on the curvature of the generalized
connection. Here we peresent the equation which collects all the bosonic
equations of D=11 supergravity when the gravitino is nonvanishing.Comment: 8 pages, plain latex. A few numerical factors corrected. To appear in
Phys. Lett.
Extended supersymmetry in massless conformal higher spin theory
We propose superfield equations in tensorial N-extended superspaces to
describe the N=2,4,8 supersymmetric generalizations of free conformal higher
spin theories. These can be obtained by quantizing a superparticle model in
N-extended tensorial superspace. The N-extended higher spin supermultiplets
just contain scalar and 'spinor' fields in tensorial space so that, in contrast
with the standard (super)space approach, no nontrivial generalizations of the
Maxwell or Einstein equations to tensorial space appear when N>2. For N=4,8,
the higher spin-tensorial components of the extended tensorial superfields are
expressed through additional scalar and spinor fields in tensorial space which
obey the same free higher spin equations, but that are axion-like in the sense
that they possess Peccei-Quinn-like symmetries.Comment: 0ne reference added; to appear in Nucl. Phys. B. 18 pages, plain
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