Higher spin gauge theory and the critical O(N) model

Simone Giombi; Xi Yin

doi:10.1103/PhysRevD.85.086005

Higher spin gauge theory and the critical O(N) model

Simone Giombi, Xi Yin

Research output: Contribution to journal › Article › peer-review

66 Scopus citations

Abstract

We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin gauge theory in AdS ₄. Thus, the conjectured duality between Vasiliev's theory and the critical O(N) model follows, order by order in 1/N, from the duality with free field theory on the boundary.

Original language	English (US)
Article number	086005
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	85
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.85.086005
State	Published - Apr 18 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.85.086005

Cite this

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abstract = "We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin gauge theory in AdS 4. Thus, the conjectured duality between Vasiliev's theory and the critical O(N) model follows, order by order in 1/N, from the duality with free field theory on the boundary.",

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AB - We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin gauge theory in AdS 4. Thus, the conjectured duality between Vasiliev's theory and the critical O(N) model follows, order by order in 1/N, from the duality with free field theory on the boundary.

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Higher spin gauge theory and the critical O(N) model

Abstract

All Science Journal Classification (ASJC) codes

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