%0 Generic %1 Anand2017Exact %A Anand, Nikhil %A Chen, Hongbin %A Fitzpatrick, A. Liam %A Kaplan, Jared %A Li, Daliang %D 2017 %K wilson-loops %T An Exact Operator That Knows Its Location %U http://arxiv.org/abs/1708.04246 %X We use conformal symmetry to define an AdS\$\_3\$ proto-field \$\phi\$ as an exact linear combination of Virasoro descendants of a CFT\$\_2\$ primary operator \$O\$. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator \$\phi\$ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large \$c\$, and that automatically take the correct form in all vacuum AdS\$\_3\$ geometries, including BTZ black hole backgrounds. In the future it should be possible to use \$\phi\$ to probe bulk locality and black hole horizons at a non-perturbative level.

@misc{Anand2017Exact, abstract = {We use conformal symmetry to define an AdS\$\_3\$ proto-field \$\phi\$ as an exact linear combination of Virasoro descendants of a CFT\$\_2\$ primary operator \$\mathcal{O}\$. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator \$\phi\$ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large \$c\$, and that automatically take the correct form in all vacuum AdS\$\_3\$ geometries, including BTZ black hole backgrounds. In the future it should be possible to use \$\phi\$ to probe bulk locality and black hole horizons at a non-perturbative level.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Anand, Nikhil and Chen, Hongbin and Fitzpatrick, A. Liam and Kaplan, Jared and Li, Daliang}, biburl = {https://www.bibsonomy.org/bibtex/2ecb22010308243d8217532cc5ef6c1d8/acastro}, citeulike-article-id = {14415149}, citeulike-linkout-0 = {http://arxiv.org/abs/1708.04246}, citeulike-linkout-1 = {http://arxiv.org/pdf/1708.04246}, day = 19, eprint = {1708.04246}, interhash = {99731a73af2a01dc52d5822ff8a17ac6}, intrahash = {ecb22010308243d8217532cc5ef6c1d8}, keywords = {wilson-loops}, month = oct, posted-at = {2017-10-26 16:17:54}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{An Exact Operator That Knows Its Location}}, url = {http://arxiv.org/abs/1708.04246}, year = 2017 }