Chern-Simons interactions in AdS and the current conformal block
arXiv:1403.6881
Abstract
We compute the four point function of scalar fields in AdS charged under Chern-Simons fields using the bulk version of the operator state mapping. Then we show how this four point function is reproduced from a CFT with a global symmetry, through the contribution of the corresponding current operator in the operator product expansion, i.e. through the conformal block of the current operator. We work in a "probe approximation" where the gravitational interactions are ignored, which corresponds to leaving out the energy momentum tensor from the operator product expansion.
27 pages, 2 figures, comments and reference suggestions are welcome