70 research outputs found
Doubletons and 5D Higher Spin Gauge Theory
We use Grassmann even spinor oscillators to construct a bosonic higher spin
extension hs(2,2) of the five-dimensional anti-de Sitter algebra SU(2,2), and
show that the gauging of hs(2,2) gives rise to a spectrum S of physical
massless fields with spin s=0,2,4,... that is a UIR of hs(2,2). In addition to
a master gauge field which contains the massless s=2,4,.. fields, we construct
a scalar master field containing the massless s=0 field, the generalized Weyl
tensors and their derivatives. We give the appropriate linearized constraint on
this master scalar field, which together with a linearized curvature constraint
produces the correct linearized field equations. A crucial step in the
construction of the theory is the identification of a central generator K which
is eliminated by means of a coset construction. Its charge vanishes in the
spectrum S, which is the symmetric product of two spin zero doubletons. We
expect our results to pave the way for constructing an interacting theory whose
curvature expansion is dual to a CFT based on higher spin currents formed out
of free doubletons in the large N limit. Thus, extending a recent proposal of
Sundborg (hep-th/0103247), we conjecture that the hs(2,2) gauge theory
describes a truncation of the bosonic massless sector of tensionless
Type IIB string theory on AdS_5 x S^5 for large N. This implies AdS/CFT
correspondence in a parameter regime where both boundary and bulk theories are
perturbative.Comment: 31 pages, late
Higher Spin N=8 Supergravity
The product of two N=8 supersingletons yields an infinite tower of massless
states of higher spin in four dimensional anti de Sitter space. All the states
with spin s > 1/2 correspond to generators of Vasiliev's super higher spin
algebra shs^E (8|4) which contains the D=4, N=8 anti de Sitter superalgebra
OSp(8|4). Gauging the higher spin algebra and introducing a matter multiplet in
a quasi-adjoint representation leads to a consistent and fully nonlinear
equations of motion as shown sometime ago by Vasiliev. We show the embedding of
the N=8 AdS supergravity equations of motion in the full system at the
linearized level and discuss the implications for the embedding of the
interacting theory. We furthermore speculate that the boundary N=8 singleton
field theory yields the dynamics of the N=8 AdS supergravity in the bulk,
including all higher spin massless fields, in an unbroken phase of M-theory.Comment: 64 pages, latex, considerably expanded version, submitted for
publicatio
Towards Massless Higher Spin Extension of D=5, N=8 Gauged Supergravity
The AdS_5 superalgebra PSU(2,2|4) has an infinite dimensional extension,
which we denote by hs(2,2|4). We show that the gauging of hs(2,2|4) gives rise
to a spectrum of physical massless fields which coincides with the symmetric
tensor product of two AdS_5 spin-1 doubletons (i.e. the N=4 SYM multiplets
living on the boundary of AdS_5). This product decomposes into levels
\ell=0,1,2,..,\infty of massless supermultiplets of PSU(2,2|4). In particular,
the D=5, N=8 supergravity multiplet arises at level \ell=0. In addition to a
master gauge field, we construct a master scalar field containing the s=0,1/2
fields, the anti-symmetric tensor field of the gauged supergravity and its
higher spin analogs. We define the linearized constraints and obtain the
linearized field equations of the full spectrum, including those of D=5,N=8
gauged supergravity and in particular the self-duality equations for the 2-form
potentials of the gauged supergravity (forming a 6-plet of SU(4)), and their
higher spin cousins with s=2,3,...,\infty.Comment: 36 pages, late
Codimension One Branes
We study codimension one branes, i.e. p-branes in (p+2)-dimensions, in the
superembedding approach for the cases where the worldvolume superspace is
embedded in a minimal target superspace with half supersymmetry breaking. This
singles out the cases p=1,2,3,5,9. For p=3,5,9 the superembedding geometry
naturally involves a fundamental super 2-form potential on the worldvolume
whose generalised field strength obeys a constraint deducible from considering
an open supermembrane ending on the p-brane. This constraint, together with the
embedding constraint, puts the system on-shell for p=5 but overconstrains the
9-brane in D=11 such that the Goldstone superfield is frozen. For p=3 these two
constraints give rise to an off-shell linear multiplet on the worldvolume. An
alternative formulation of this case is given in which the linear multiplet is
dualised to an off-shell scalar multiplet. Actions are constructed for both
cases and are shown to give equivalent equations of motion. After gauge fixing
a local Sp(1) symmetry associated with shifts in the Sp(1)_R Goldstone modes,
we find that the auxiliary fields in the scalar multiplet parametrise a
two-sphere. For completeness we also discuss briefly the cases p=1,2 where the
equations of motion (for off-shell multiplets) are obtained from an action
principle.Comment: 38 pages, latex, cover page correcte
Spectrum of D=6, N=4b Supergravity on AdS_3 x S^3
The complete spectrum of D=6, N=4b supergravity with n tensor multiplets
compactified on AdS_3 x S^3 is determined. The D=6 theory obtained from the K_3
compactification of Type IIB string requires that n=21, but we let n be
arbitrary. The superalgebra that underlies the symmetry of the resulting
supergravity theory in AdS_3 coupled to matter is SU(1,1|2)_L x SU(1,1|2)_R.
The theory also has an unbroken global SO(4)_R x SO(n) symmetry inherited from
D=6. The spectrum of states arranges itself into a tower of spin-2
supermultiplets, a tower of spin-1, SO(n) singlet supermultiplets, a tower of
spin-1 supermultiplets in the vector representation of SO(n) and a special
spin-1/2 supermultiplet also in the vector representation of SO(n). The SU(2)_L
x SU(2)_R Yang-Mills states reside in the second level of the spin-2 tower and
the lowest level of the spin-1, SO(n) singlet tower and the associated field
theory exhibits interesting properties.Comment: 37 pages, latex, 5 tables and 3 figures, typos corrected, a reference
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