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166
Nonlinear equations for symmetric massless higher spin fields
 in (A)dS(d), Phys. Lett. B 567 (2003) 139 [arXiv:hepth/0304049
"... Nonlinear field equations for totally symmetric bosonic massless fields of all spins in any dimension are presented. 1 ..."
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Nonlinear field equations for totally symmetric bosonic massless fields of all spins in any dimension are presented. 1
Massless higher spins and holography
 Nucl. Phys. B644 (2002) 303, erratum Nucl. Phys. B660 (2003) 403 [hepth/0205131
"... We treat free large N superconformal field theories as holographic duals of higher spin (HS) gauge theories expanded around AdS spacetime with radius R. The HS gauge theories contain massless and light massive AdS fields. The HS current correlators are written in a crossing symmetric form including ..."
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Cited by 128 (8 self)
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We treat free large N superconformal field theories as holographic duals of higher spin (HS) gauge theories expanded around AdS spacetime with radius R. The HS gauge theories contain massless and light massive AdS fields. The HS current correlators are written in a crossing symmetric form including only exchange of other HS currents. This and other arguments point to the existence of a consistent truncation to massless HS fields. A survey of massless HS theories with 32 supersymmetries in D = 4,5,7 (where the 7D results are new) is given and the corresponding composite operators are discussed. In the case of AdS4, the cubic couplings of a minimal bosonic massless HS gauge theory are described. We examine high energy/small tension limits giving rise to massless HS fields in the Type IIB string on AdS5 × S 5 and M theory on AdS 4/7 × S 7/4. We discuss breaking of HS symmetries to the symmetries of ordinary supergravity, and a particularly natural Higgs mechanism in AdS5 × S 5 and AdS4 × S 7 where the HS symmetry is broken by finite gYM. In AdS5 × S 5 it is shown that the supermultiplets of the leading Regge trajectory cross over into the massless HS spectrum. We propose that g 2 YM = 0 corresponds to a critical string tension of order 1/R2 and a finite string coupling of
Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings,” hepth/0305040
"... The correspondences proposed previously between higher spin gauge theories and free singleton field theories were recently extended into a more complete picture by Klebanov and Polyakov in the case of the minimal bosonic theory in D = 4 to include the strongly coupled fixed point of the 3d O(N) vect ..."
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Cited by 89 (6 self)
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The correspondences proposed previously between higher spin gauge theories and free singleton field theories were recently extended into a more complete picture by Klebanov and Polyakov in the case of the minimal bosonic theory in D = 4 to include the strongly coupled fixed point of the 3d O(N) vector model. Here we propose an N = 1 supersymmetric version of this picture. We also elaborate on the role of parity in constraining the bulk interactions, and in distinguishing two minimal bosonic models obtained as two different consistent truncations of the minimal N = 1 model that retain the scalar or the pseudoscalar field. We refer to these models as the Type A and Type B models, respectively, and conjecture that the latter is holographically dual to the 3d GrossNeveu model. In the case of the Type A model, we show the vanishing of the threescalar amplitude with regular boundary conditions. This agrees with the O(N) vector model computation of Petkou, thereby providing a nontrivial test of the KlebanovPolyakov
Black holes in three dimensional higher spin gravity: A review
 J. Phys. A
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Doubletons and 5D higher spin gauge theory”, JHEP 0109
, 2001
"... We use Grassmann even spinor oscillators to construct a bosonic higher spin extension hs(2,2) of the fivedimensional antide 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 addit ..."
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Cited by 52 (12 self)
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We use Grassmann even spinor oscillators to construct a bosonic higher spin extension hs(2,2) of the fivedimensional antide 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 (hepth/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
Charges and OffShell Fields in the Unfolded Dynamics Approach, Int.J.Geom.Meth.Mod.Phys
"... Within unfolded dynamics approach, we represent actions and conserved charges as elements of cohomology of the L ∞ algebra underlying the unfolded formulation of a given dynamical system. The unfolded offshell constraints for symmetric fields of all spins in Minkowski space are shown to have the fo ..."
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Cited by 51 (2 self)
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Within unfolded dynamics approach, we represent actions and conserved charges as elements of cohomology of the L ∞ algebra underlying the unfolded formulation of a given dynamical system. The unfolded offshell constraints for symmetric fields of all spins in Minkowski space are shown to have the form of zero curvature and covariant constancy conditions for 1forms and 0forms taking values in an appropriate star product algebra. Unfolded formulation of YangMills and Einstein equations is presented in a closed form. 1
Higher spin superalgebras in any dimension and their representations
"... Fock module realization for the unitary singleton representations of the d − 1 dimensional conformal algebra o(d − 1,2), which correspond to the spaces of oneparticle states of massless scalar and spinor in d −1 dimensions, is given. The pattern of the tensor product of a pair of singletons is anal ..."
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Cited by 47 (2 self)
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Fock module realization for the unitary singleton representations of the d − 1 dimensional conformal algebra o(d − 1,2), which correspond to the spaces of oneparticle states of massless scalar and spinor in d −1 dimensions, is given. The pattern of the tensor product of a pair of singletons is analyzed in any dimension. It is shown that the tensor product of two boson singletons decomposes into a sum of all integer spin totally symmetric massless representations in AdSd, the tensor product of boson and fermion singletons gives a sum of all halfinteger spin totally symmetric massless representations in AdSd, and the tensor product of two fermion singletons in d> 4 gives rise to massless fields of mixed symmetry types in AdSd depicted by Young tableaux with one row and one column together with certain totally antisymmetric massive fields. The obtained results extend the 4d result of Flato and Fronsdal [1] to any dimension and provide a nontrivial consistency check for the recently proposed higher spin model in AdSd [2]. We define a class of higher spin superalgebras which act on the supersingleton and higher spin states in any dimension. For the cases of AdS3, AdS4, and AdS5 the isomorphisms with the higher spin superalgebras defined earlier in terms of spinor generating elements are established. 1
Minimal model holography for
 SO(2N),” JHEP 1108 (2011) 104 [arXiv:1106.2634 [hepth
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An Instanton Solution of 4D HigherSpin Gauge Theory
"... We give a oneparameter family of exact solutions to fourdimensional higherspin gauge theory invariant under a deformed higherspin extension of SO(3,1) and parameterized by a zeroform invariant. All higherspin gauge fields vanish, while the metric interpolates between two asymptotically AdS4 reg ..."
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We give a oneparameter family of exact solutions to fourdimensional higherspin gauge theory invariant under a deformed higherspin extension of SO(3,1) and parameterized by a zeroform invariant. All higherspin gauge fields vanish, while the metric interpolates between two asymptotically AdS4 regions via a dS3foliated domainwall and two RobertsonWalkerlike H3foliated 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 gaugefunction approach, the perturbative treatment of (pseudo)singular initial data describing
The Coset Spin4 Casimir Operator and Its ThreePoint Functions with
 Scalars,” JHEP 1202, 027 (2012) [arXiv:1111.0091 [hepth
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