691 research outputs found
Open String/Open D-Brane Dualities: Old and New
We examine magnetic and electric near horizon regions of maximally
supersymmetric D-brane and NS5-brane bound states and find transformations
between near horizon regions with worldvolume dual magnetic and electric
fluxes. These point to dual formulations of NCYM, NCOS and OD theories in
the limit of weak coupling and large spatial or temporal non-commutativity
length scale in terms of weakly coupled theories with fixed worldvolume dual
non-commutativity based on open D-branes. We also examine the strong coupling
behavior of the open D-brane theories and propose a unified web of dualities
involving strong/weak coupling as well as large/small non-commutativity scale.Comment: 33 pages, Latex, 8 diagrams, added references and a remar
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
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
New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
IndexaciĂłn: Web of Science; Scopus; Scielo.We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv: 1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS(4) region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.https://link.springer.com/article/10.1007%2FJHEP01%282017%2904
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
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