A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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 pseudo-scalar 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 Gross-Neveu model. In the case of the Type A model, we show the vanishing of the three-scalar amplitude with regular boundary conditions. This agrees with the O(N) vector model computation of Petkou, thereby providing a non-trivial test of the Klebanov-Polyakov conjecture.
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Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.
Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.
citing papers explorer
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Worldline Higher Spin Gravity
A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
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Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant
Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
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Self-dual holography: four-point AdS/CFT correlators in higher-spin gravity
Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.
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Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II
Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.