期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2013)007
关键词
Field Theories in Lower Dimensions; AdS-CFT Correspondence; Conformal and W Symmetry; Chern-Simons Theories
资金
- Czech Science Foundation [GACR P203/11/1388]
- EURYI from EUROHORC [GACR EYI/07/E010]
- ESF
- European Research Council under the European Union's Seventh Framework Programme, ERC [STG 279943]
We propose a refinement of the Gaberdiel-Gopakumar duality conjecture between W-N conformal field theories and 2+1-dimensional higher spin gravity. We make an identification of generic representations of the W-N CFT in the semiclassical limit with bulk configurations. By studying the spectrum of the semiclassical limit of the W-N theories and mapping to solutions of Euclidean Vasiliev gravity at lambda = -N, we propose that the 'light states' of the W-N minimal models in the 't Hooft limit map not to the conical defects of the Vasiliev theory, but rather to bound states of perturbative scalar fields with these defects. Evidence for this identification comes from comparing charges and from holographic relations between CFT null states and bulk symmetries. We also make progress in understanding the coupling of scalar matter to sl(N) gauge fields.
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