%0 Generic %1 Keranen2014ChernSimons %A Keranen, Ville %D 2014 %K ads3-cft2, chern-simons %T Chern-Simons interactions in AdS\$\_3\$ and the current conformal block %U http://arxiv.org/abs/1403.6881 %X We compute the four point function of scalar fields in AdS\$\_3\$ charged under \$U(1)\$ 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\$\_2\$ with a global \$U(1)\$ 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.

@misc{Keranen2014ChernSimons, abstract = {{We compute the four point function of scalar fields in AdS\$\_3\$ charged under \$U(1)\$ 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\$\_2\$ with a global \$U(1)\$ 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Keranen, Ville}, biburl = {https://www.bibsonomy.org/bibtex/2da7508efd09f45d3c0068013897b4ab2/acastro}, citeulike-article-id = {13498861}, citeulike-linkout-0 = {http://arxiv.org/abs/1403.6881}, citeulike-linkout-1 = {http://arxiv.org/pdf/1403.6881}, day = 26, eprint = {1403.6881}, interhash = {d895f10b7ad72ae2926e7609003c5226}, intrahash = {da7508efd09f45d3c0068013897b4ab2}, keywords = {ads3-cft2, chern-simons}, month = mar, posted-at = {2015-01-23 09:12:36}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Chern-Simons interactions in AdS\$\_3\$ and the current conformal block}}, url = {http://arxiv.org/abs/1403.6881}, year = 2014 }