4,543 research outputs found
Superspace Formulation of 4D Higher Spin Gauge Theory
Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so
far have been formulated as constrained systems of differential forms living in
a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory
in superspace, leaving the internal twistor space intact. Remarkably, the
superspace constraints have the same form as those defining the theory in
ordinary spacetime. This construction generalizes straightforwardly to higher
spin gauge theories N>1 supersymmetry.Comment: 24 p
An Exact Solution of 4D Higher-Spin Gauge Theory
We give a one-parameter family of exact solutions to four-dimensional
higher-spin gauge theory invariant under a deformed higher-spin extension of
SO(3,1) and parameterized by a zero-form invariant. All higher-spin gauge
fields vanish, while the metric interpolates between two asymptotically AdS4
regions via a dS3-foliated domainwall and two H3-foliated Robertson-Walker
spacetimes -- one in the future and one in the past -- with the scalar field
playing the role of foliation parameter. All Weyl tensors vanish, including
that of spin two. We furthermore discuss methods for constructing solutions,
including deformation of solutions to pure AdS gravity, the gauge-function
approach, the perturbative treatment of (pseudo-)singular initial data
describing isometric or otherwise projected solutions, and zero-form
invariants.Comment: 47 pages. v3: global properties of the solution clarified, minor
corrections made, discussion and refs revise
Gauge Non-Invariant Higher-Spin Currents in Minkowski Space
Conserved currents of any spin built from symmetric massless gauge
fields of any integer spin in {4d} Minkowski space are found. In
particular, stress-energy tensor for a higher-spin field of any spin is
constructed. Analogously to spin-two stress (pseudo)tensor, currents considered
in this paper are not gauge invariant. However, they are shown to generate
gauge invariant conserved charges. Besides expected parity even HS currents, we
found unexpected parity odd currents that generate less symmetries than the
even ones. It is argued that these odd currents unlikely admit a consistent
deformation.Comment: 17 pages; V2: Minor corrections, the version published in the volume
in honor of Andrei Alekseevich Slavno
Gauge Non-Invariant Higher-Spin Currents in
Conserved currents of any spin built from bosonic symmetric massless
gauge fields of arbitrary integer spins in are found. Analogously to
the case of Minkowski space, currents considered in this paper are not
gauge invariant but generate gauge invariant conserved charges.Comment: 18 pages; V2: Typos and coefficients corrected, published versio
7D Bosonic Higher Spin Theory: Symmetry Algebra and Linearized Constraints
We construct the minimal bosonic higher spin extension of the 7D AdS algebra
SO(6,2), which we call hs(8*). The generators, which have spin s=1,3,5,..., are
realized as monomials in Grassmann even spinor oscillators. Irreducibility, in
the form of tracelessness, is achieved by modding out an infinite dimensional
ideal containing the traces. In this a key role is played by the tree bilinear
traces which form an SU(2)_K algebra. We show that gauging of hs(8*) yields a
spectrum of physical fields with spin s=0,2,4,...which make up a UIR of hs(8*)
isomorphic to the symmetric tensor product of two 6D scalar doubletons. The
scalar doubleton is the unique SU(2)_K invariant 6D doubleton. The spin s\geq 2
sector comes from an hs(8*)-valued one-form which also contains the auxiliary
gauge fields required for writing the curvature constraints in covariant form.
The physical spin s=0 field arises in a separate zero-form in a `quasi-adjoint'
representation of hs(8*). This zero-form also contains the spin s\geq 2 Weyl
tensors, i.e. the curvatures which are non-vanishing on-shell. We suggest that
the hs(8*) gauge theory describes the minimal bosonic, massless truncation of M
theory on AdS_7\times S^4 in an unbroken phase where the holographic dual is
given by N free (2,0) tensor multiplets for large N.Comment: 23 pages, late
Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions
We formulate a non-linear system of equations which describe higher-spin
gauge interactions of massive matter fields in 2+1 dimensional space-time and
explain some properties of the deformed oscillator algebra which underlies this
formulation. In particular we show that the parameter of mass of matter
fields is related to the deformation parameter in this algebra.Comment: LaTex, 12 pages, no figures; Invited talk at the International
Seminar Supersymmetry and Quantum Field Theory dedicated to the memory of
Dmitrij V. Volkov; Kharkov, January 1997; to appear in the proceeding
Holography of the N=1 Higher-Spin Theory on AdS4
We argue that the N=1 higher-spin theory on AdS4 is holographically dual to
the N=1 supersymmetric critical O(N) vector model in three dimensions. This
appears to be a special form of the AdS/CFT correspondence in which both
regular and irregular bulk modes have similar roles and their interplay leads
simultaneously to both the free and the interacting phases of the boundary
theory. We study various boundary conditions that correspond to boundary
deformations connecting, for large-N, the free and interacting boundary
theories. We point out the importance of parity in this holography and
elucidate the Higgs mechanism responsible for the breaking of higher-spin
symmetry for subleading N.Comment: 19 page
Geometry and dynamics of higher-spin frame fields
We give a systematic account of unconstrained free bosonic higher-spin fields
on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism.
The generalized spin connections are determined by solving a chain of
torsion-like constraints. Via a generalization of the vielbein postulate these
allow to determine higher-spin Christoffel symbols, whose relation to the de
Wit--Freedman connections is discussed. We prove that the generalized Einstein
equations, despite being of higher-derivative order, give rise to the AdS
Fronsdal equations in the compensator formulation. To this end we derive
Damour-Deser identities for arbitrary spin on AdS. Finally we discuss the
possibility of a geometrical and local action principle, which is manifestly
invariant under unconstrained higher-spin symmetries.Comment: 30 pages, uses youngtab.sty, v2: minor changes, references adde
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