Spinors and the AdS/CFT correspondence

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 partiti...

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Bibliographic Details
Published inPhysics letters. B Vol. 431; no. 1; pp. 63 - 68
Main Authors Henningson, Måns, Sfetsos, Konstadinos
Format Journal Article
LanguageEnglish
Published Elsevier B.V 09.07.1998
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ISSN0370-2693
1873-2445
DOI10.1016/S0370-2693(98)00559-0

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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(98)00559-0