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AdS/CFT for 3D higher-spin gravity coupled to matter fields.
- Source :
-
Classical & Quantum Gravity . 3/21/2014, Vol. 31 Issue 6, p065006-065030. 25p. - Publication Year :
- 2014
-
Abstract
- New holographic prescription for the model of 3d higher-spin gravity coupled to real matter fields Bμν and C, which was introduced in Fujisawa and Nakayama (2014 Class. Quantum Grav.31 015003), is formulated. By using a local symmetry, two of the components of Bμν are eliminated, and gauge-fixing conditions are imposed such that the non-vanishing component, Bϕρ, satisfies a covariantly-constancy condition in the background of Chern-Simons gauge fields Aμ, . In this model, solutions to the classical equations of motion for Aμ and are non-flat due to the interactions with matter fields. The solutions for the gauge fields can, however, be split into two parts, flat gauge fields , , and those terms that depend on the matter fields. The equations for the matter fields then coincide with covariantly-constancy equations in the flat backgrounds and , which are exactly the same as those in linearized 3d Vasiliev gravity. The two- and three-point correlation functions of the single-trace operators and the higher-spin currents in the boundary CFT are computed by using an on-shell action tr (Bϕρ C). This term does not depend on coordinates due to the matter equations of motion, and it is not necessary to take the near-boundary limit ρ → ∞. Analysis is presented for SL(3,R) × SL(3,R) as well as higher-spin gravity. In the latter model, scalar operators with scaling dimensions Δ+ = 3/2 and Δ− = 1/2 appear in a single quantization. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02649381
- Volume :
- 31
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Classical & Quantum Gravity
- Publication Type :
- Academic Journal
- Accession number :
- 94682673
- Full Text :
- https://doi.org/10.1088/0264-9381/31/6/065006