2,201 research outputs found
Brane-Localized Goldstone Fermions in Bulk Supergravity
We construct the action and transformation laws for bulk five-dimensional AdS
supergravity coupled to one or two brane-localized Goldstone fermions. The
resulting bulk-plus-brane system gives a model-independent description of
brane-localized supersymmetry breaking in the Randall-Sundrum scenario. We
explicitly reduce the action and transformation laws to spontaneously broken
four-dimensional supergravity.Comment: 22 page
Simple d=4 supergravity with a boundary
To construct rigidly or locally supersymmetric bulk-plus-boundary actions,
one needs an extension of the usual tensor calculus. Its key ingredients are
the extended (F-, D-, etc.) density formulas and the rule for the decomposition
of bulk multiplets into (co-dimension one) boundary multiplets. Working out
these ingredients for d=4 N=1 Poincar\'e supergravity, we discover the special
role played by R-symmetry (absent in the d=3 N=1 case we studied previously).
The R-symmetry has to be gauged which leads us to extend the
old-minimal set of auxiliary fields S, P, A_\mu by a compensator .
Our results include the ``F+A'' density formula, the ``Q+L+A'' formula for the
induced supersymmetry transformations (closing into the standard d=3 N=1
algebra) and demonstration that the compensator is the first component of
the extrinsic curvature multiplet. We rely on the superconformal approach which
allows us to perform, in parallel, the same analysis for new-minimal
supergravity.Comment: 26 pages. JHEP forma
Rigid supersymmetry with boundaries
We construct rigidly supersymmetric bulk-plus-boundary actions, both in
-space and in superspace. For each standard supersymmetric bulk action a
minimal supersymmetric bulk-plus-boundary action follows from an extended -
or -term formula. Additional separately supersymmetric boundary actions can
be systematically constructed using co-dimension one multiplets (boundary
superfields). We also discuss the orbit of boundary conditions which follow
from the Euler-Lagrange variational principle.Comment: 28 pages, JHEP clas
Mass-Deformed BLG Theory in Light-Cone Superspace
Maximally supersymmetric mass deformation of the Bagger-Lambert-Gustavsson
(BLG) theory corresponds to a {non-central} extension of the d=3 N=8 Poincare
superalgebra (allowed in three dimensions). We obtain its light-cone superspace
formulation which has a novel feature of the dynamical supersymmetry generators
being {cubic} in the kinematical ones. The mass deformation picks a
quaternionic direction, which breaks the SO(8) R-symmetry down to SO(4)xSO(4).
The Hamiltonian of the theory is shown to be a quadratic form of the dynamical
supersymmetry transformations, to all orders in the mass parameter, M, and the
structure constants, f^{a b c d}.Comment: 23 page
The supermultiplet of boundary conditions in supergravity
Boundary conditions in supergravity on a manifold with boundary relate the
bulk gravitino to the boundary supercurrent, and the normal derivative of the
bulk metric to the boundary energy-momentum tensor. In the 3D N=1 setting, we
show that these boundary conditions can be stated in a manifestly
supersymmetric form. We identify the Extrinsic Curvature Tensor Multiplet, and
show that boundary conditions set it equal to (a conjugate of) the boundary
supercurrent multiplet. Extension of our results to higher-dimensional models
(including the Randall-Sundrum and Horava-Witten scenarios) is discussed.Comment: 22 pages. JHEP format; references added; published versio
Tensor calculus for supergravity on a manifold with boundary
Using the simple setting of 3D N=1 supergravity, we show how the tensor
calculus of supergravity can be extended to manifolds with boundary. We present
an extension of the standard F-density formula which yields supersymmetric
bulk-plus-boundary actions. To construct additional separately supersymmetric
boundary actions, we decompose bulk supergravity and bulk matter multiplets
into co-dimension one submultiplets. As an illustration we obtain the
supersymmetric extension of the York-Gibbons-Hawking extrinsic curvature
boundary term. We emphasize that our construction does not require any boundary
conditions on off-shell fields. This gives a significant improvement over the
existing orbifold supergravity tensor calculus.Comment: 20 pages, JHEP format; published versio
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