English

Spinors and the AdS/CFT correspondence

High Energy Physics - Theory 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9803251,
  title  = {Spinors and the AdS/CFT correspondence},
  author = {Mans Henningson and Konstadinos Sfetsos},
  journal= {arXiv preprint arXiv:hep-th/9803251},
  year   = {2009}
}

Comments

9 pages, harvmac; minor changes, added references