Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.
Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence
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abstract
Light-cone form of field dynamics in anti-de Sitter space-time is developed. Using field theoretic and group theoretic approaches the light-cone representation for generators of anti-de Sitter algebra acting as differential operators on bulk fields is found. We also present light-cone reformulation of the boundary conformal field theory representations. Making use of these explicit representations of AdS algebra as isometry algebra in the bulk and the algebra of conformal transformations at the boundary a precise correspondence between the bulk fields and the boundary operators is established.
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Light-cone vector superspace and continuous-spin field in AdS
Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.