Holography, unfolding and higher spin theory

By Mikhail A. Vasiliev. 2012

169 citations recorded by the source corpus.

Holographic duality is argued to relate classes of models that have equivalent unfolded formulation, hence exhibiting different space-time visualizations for the same theory. This general phenomenon is illustrated by the AdS4 higher spin gauge theory shown to be dual to the theory of 3d conformal currents of all spins interacting with 3d conformal higher spin fields of Chern–Simons type. Generally, the resulting 3d boundary conformal theory is nonlinear, providing an interacting version of the 3d boundary sigma model conjectured by Klebanov and Polyakov to be dual to the AdS4 higher spin theory in the large N limit. Being a gauge theory, it escapes the conditions of the theorem of Maldacena and Zhiboedov, which force a 3d boundary conformal theory to be free. Two reductions of particular higher spin gauge theories where boundary higher spin gauge fields decouple from the currents and which have free-boundary duals are identified. Higher spin holographic duality is also discussed for the cases of AdS3/CFT2 and duality between higher spin theories and nonrelativistic quantum mechanics. In the latter case, it is shown in particular that (dS) AdS geometry in the higher spin setup is dual to the (inverted) harmonic potential in the quantum-mechanical setup. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0a87fcaadb66c165ec4a6c5293de7f5b61c6beb6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. B. Safdi
2. Silviu S. Pufu
3. F. Benini
4. I. Klebanov
5. S. Giombi
6. G. Tarnopolsky
7. Rajesh Gopakumar
8. O. Aharony

In Nuclear and High Energy Physics

1. S. Giombi
2. I. Klebanov
3. Rajesh Gopakumar
4. M. Gaberdiel
5. N. Seiberg
6. F. Benini
7. O. Aharony
8. Silviu S. Pufu

In Statistical and Nonlinear Physics

1. Rajesh Gopakumar
2. M. Gaberdiel
3. F. Benini
4. N. Seiberg
5. Po-Shen Hsin
6. I. Klebanov
7. O. Aharony
8. S. Giombi

Citations in the corpus

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, unknown): “Also, these dual large N theories have the same gravitational dual description [29,30,16,17,18], which involves an unusual type of theory with almost massless fields of very high spin (for one reference out of many on this topic, see [31]).”
• AdS description of induced higher-spin gauge theory (2013, methodology): “This modification results in gauging the corresponding higher-spin symmetries in the 3-d boundary theory,(2) as was proposed some time ago at the level of the linearized approximation [34] (see also [45]) and studied more recently in the context of the fully non-linear Vasiliev higher-spin theory [4”
• Minimal model holography (2012, methodology): “(The general Vasiliev approach to constructing higher spin theories in diverse dimensions and its relevance for the AdS/CFT correspondence is reviewed elsewhere in this volume, for instance in the articles of Giombi and Yin [69] and Vasiliev [115].”
• Chern-Simons-matter dualities with SO and USp gauge groups (2016, background): “[10]), and thus dual to each other by a duality exchanging strong and weak coupling.”
• Higher spin gravity in 3D: Black holes, global charges and thermodynamics (2012, background): “Since these solutions possess a relaxed asymptotically AdS behavior, following the canonical approach, it is shown that the global charges, and in particular the energy, acquire explicit nontrivial contributions given by nonlinear terms in the deviations with respect to the reference background.”