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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
AdS Dual of the Critical O(N) Vector Model
, 2002
"... We suggest a general relation between theories of infinite number of higherspin massless gauge fields in AdSd+1 and large N conformal theories in d dimensions containing Ncomponent vector fields. In particular, we propose that the singlet sector of the wellknown critical 3d O(N) model with the ( ..."
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Cited by 19 (0 self)
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We suggest a general relation between theories of infinite number of higherspin massless gauge fields in AdSd+1 and large N conformal theories in d dimensions containing Ncomponent vector fields. In particular, we propose that the singlet sector of the wellknown critical 3d O(N) model with the (φ a φ a) 2 interaction is dual, in the large N limit, to the minimal bosonic theory in AdS4 containing massless gauge fields
Twistor space observables and quasiamplitudes
 in 4D higher spin gravity,” JHEP 1111 (2011) 042, arXiv:1012.0813 [hepth
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hepth/0207101 On N = 1, 2, 4 Higher Spin Gauge Theories in Four Dimensions
, 2002
"... We study N = 1, 2, 4 higher spin superalgebras in four dimensions and higher spin gauge theories based on them. We extend the existing minimal N = 2, 4 theories and find a minimal N = 1 theory. Utilizing the basic structure of the minimal N = 8 theory, we express the full field equations for the N = ..."
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Cited by 9 (3 self)
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We study N = 1, 2, 4 higher spin superalgebras in four dimensions and higher spin gauge theories based on them. We extend the existing minimal N = 2, 4 theories and find a minimal N = 1 theory. Utilizing the basic structure of the minimal N = 8 theory, we express the full field equations for the N = 1, 2, 4 theories in a universal form without introducing Kleinian operators. We also use a nonminimal N = 4 higher spin algebra tensored with U(3) to describe a higher spin extension of N = 4 supergravity coupled to the massless vector multiplets arising in the KK spectrum of 11D supergravity on the N = 3 supersymmetric AdS4 × N 010 background. The higher spin theory also contains a triplet of vector multiplets which may play a role Massless higher spin gauge theories are generalizations of ordinary gravity that have antide Sitter spacetime as vacuum and contain an infinite set of massless particles of everincreasing spin. These theories are best understood in 4D, where their “classical ” interactions have been constructed by gauging of higher spin algebras
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"... Diese Arbeit wurde durchgeführt am MaxPlanckInstitut für Pflanzenzüchtungsforschung in ..."
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Diese Arbeit wurde durchgeführt am MaxPlanckInstitut für Pflanzenzüchtungsforschung in
Department of Theoretical Physics,
, 2006
"... We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group with given spin as the operator constraints in auxiliary Fock ..."
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We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group with given spin as the operator constraints in auxiliary Fock space, we built the BRST charge for the model under consideration and find the gauge invariant equations of motion in terms of vectors and operators in the Fock space. It is shown that like in massless case [5], the massive fermionic higher spin field models are the reducible gauge theories and the order of reducibility grows with the value of spin. In compare with all previous approaches, no offshell constraints on the fields and the gauge parameters are imposed from the very beginning, all correct constraints emerge automatically as the consequences of the equations of motion. As an example, we derive a gauge invariant Lagrangian for massive spin 3/2 field. 1
Department of Theoretical Physics, Tomsk State Pedagogical University,
, 2006
"... We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group with given spin as the operator constraints in auxiliary Fock ..."
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We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group with given spin as the operator constraints in auxiliary Fock space, we built the BRST charge for the model under consideration and find the gauge invariant equations of motion in terms of vectors and operators in the Fock space. It is shown that like in massless case [5], the massive fermionic higher spin field models are the reducible gauge theories and the order of reducibility grows with the value of spin. In compare with all previous approaches, no offshell constraints on the fields and the gauge parameters are imposed from the very beginning, all correct constraints emerge automatically as the consequences of the equations of motion. As an example, we derive a gauge invariant Lagrangian for massive spin 3/2 field. 1