1998
DOI: 10.1016/s0370-2693(98)00559-0
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Spinors and the AdS/CFT correspondence

Abstract: 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… Show more

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Cited by 262 publications
(399 citation statements)
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“…The relations (2.12), (2.17), (2.21) generalize the familiar relations [12] between masses of fields on AdS and scaling dimensions of the dual operators to domain wall/QFT involving warped geometries. In the next sections we apply this dictionary to the study of KK reductions of ten-dimensional strings on near horizon string-like backgrounds.…”
Section: Higher Spin Modesmentioning
confidence: 72%
See 2 more Smart Citations
“…The relations (2.12), (2.17), (2.21) generalize the familiar relations [12] between masses of fields on AdS and scaling dimensions of the dual operators to domain wall/QFT involving warped geometries. In the next sections we apply this dictionary to the study of KK reductions of ten-dimensional strings on near horizon string-like backgrounds.…”
Section: Higher Spin Modesmentioning
confidence: 72%
“…For similar results on pure AdS spaces see [11,12]. We start by considering a massless scalar field moving freely on (2.1).…”
Section: Scalar Fieldsmentioning
confidence: 98%
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“…(101) they differ from each other only by higher order terms whose contribution to the action vanishes in the limit → 0. 8 The same can be said about the corresponding traces of the extrinsic curvatures. Then, taking into account that at the end of calculations we will perform the limit → 0, we conclude that the actions…”
Section: The Generalized Ads/cft Prescriptionmentioning
confidence: 99%
“…(110) 8 Here we are considering only those points close to the boundary in global coordinates which are mapped to x 0 = in Poincaré coordinates. The points in global coordinates which are mapped to the point at infinity in Poincaré coordinates are not relevant to our present purposes.…”
Section: The Generalized Ads/cft Prescriptionmentioning
confidence: 99%