Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
Holography of the N=1 higher spin theory on AdS(4)
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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.
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hep-th 3years
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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.
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.
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dS$^4$ Metamorphosis
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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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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Amplitudes in self-dual (higher-spin) theories
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.