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Towards higherspin holography in ambient space of any dimension
, 2012
"... We derive the propagators for higherspin master fields in antide Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space, where AdS is represented as a hyperboloid and its conformal bo ..."
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Cited by 16 (4 self)
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We derive the propagators for higherspin master fields in antide Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space, where AdS is represented as a hyperboloid and its conformal boundary as a projective lightcone, simplifies the approach and makes a direct contact between boundarytobulk propagators and twopoint functions of conserved currents.
Nonabelian cubic vertices for higherspin fields in antide Sitter space
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Tomsk State Pedagogical University,
"... We construct a Lagrangian description of irreducible integer higherspin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic mixedsymmetry higherspin fields in a flat space of any d ..."
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We construct a Lagrangian description of irreducible integer higherspin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic mixedsymmetry higherspin fields in a flat space of any dimension in terms of an auxiliary Fock space associated with special Poincare module, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincaregroup representations) into a firstclass constraint system. For this purpose, we find, for the first time, auxiliary representations of the constraint subalgebra, to be isomorphic due to Howe duality to sp(2k) algebra, and containing the subsystem of secondclass constraints in terms of new oscillator variables. We propose a universal procedure of constructing unconstrained gaugeinvariant Lagrangians with reducible gauge symmetries describing the dynamics of both massless and massive bosonic fields of any spin. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by the constraints corresponding to an irreducible Poincaregroup representation. As examples of the general procedure, we formulate the method of Lagrangian construction for bosonic fields subject to arbitrary Young tableaux having 3 rows and derive the gaugeinvariant Lagrangian for new model of massless rank4 tensor field with spin (2, 1, 1) and secondstage reducible gauge symmetries.