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 on the boundary.

9 pages, harvmac; minor changes, added references

References in corpus (1)

• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes

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