Spinors and the AdS/CFT correspondence
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We consider a free massive spinor field in Euclidean Anti-de Sitter space. The usual Dirac action in bulk is supplemented by a certain boundary term. The boundary conditions of the field are parametrized by a spinor on the boundary, subject to a projection. We calculate the dependence of the partition function on this boundary spinor. The result agrees with the generating functional of the correlation functions of a quasi-primary spinor operator, of a certain scaling dimension, in a free conformal field theory on the boundary.
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Forward citations
Cited by 2 Pith papers
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Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II
Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.
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De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
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