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Spinor Exchange in AdS_(d+1)
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Spinor Exchange in AdS_(d+1)
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We explicitly calculate a Witten diagram with general spinor field exchange on $(d+1)$-dimensional Euclidean Anti-de Sitter space, which is necessary to evaluate four-point correlation functions with spinor fields when we make use of the AdS/CFT correspondence, especially in supersymmetric cases. We also show that the amplitude can be reduced to a scalar exchange amplitude. We discuss the operator product expansion of the dual conformal field theory by interpreting the short distance expansion of the amplitude according to the AdS/CFT correspondence.
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Cited by 1 Pith paper
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2-loop free energy of M2 brane in AdS$_7 \times$ S$^4$ and surface defect anomaly in (2,0) theory
The 2-loop (1/N) correction to the M2-brane free energy in AdS7×S4 vanishes in dimensional and ζ-function regularizations, so the boundary defect anomaly is b = 12N − 9, supporting the U(N) (2,0) interpretation.
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