Holography from Conformal Field Theory Export

@article{citeulike:5038612, abstract = {The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length. In the CFT this implies a large-N expansion and a gap in the spectum of anomalous dimensions. We conjecture that the implication also runs in the other direction, so that any CFT with a planar expansion and a large gap has a local bulk dual. For an abstract CFT we formulate the consistency conditions, most notably crossing symmetry, and show that the conjecture is true in a broad range of CFT's, to first nontrivial order in 1/N^2: any CFT with a gap and a planar expansion is generated via the AdS/CFT dictionary from a local bulk interaction. We establish this result by a counting argument on each side, and also investigate various properties of some explicit solutions.}, archivePrefix = {arXiv}, author = {Heemskerk, Idse and Penedones, Joao and Polchinski, Joseph and Sully, James}, citeulike-article-id = {5038612}, citeulike-linkout-0 = {http://arxiv.org/abs/0907.0151}, citeulike-linkout-1 = {http://arxiv.org/pdf/0907.0151}, day = {11}, eprint = {0907.0151}, keywords = {ads, cft}, month = {Aug}, posted-at = {2009-08-14 19:11:19}, priority = {2}, title = {Holography from Conformal Field Theory}, url = {http://arxiv.org/abs/0907.0151}, year = {2009} }

TY - JOUR ID - citeulike:5038612 L3 - citeulike-article-id:5038612 N2 - The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length. In the CFT this implies a large-N expansion and a gap in the spectum of anomalous dimensions. We conjecture that the implication also runs in the other direction, so that any CFT with a planar expansion and a large gap has a local bulk dual. For an abstract CFT we formulate the consistency conditions, most notably crossing symmetry, and show that the conjecture is true in a broad range of CFT's, to first nontrivial order in 1/N^2: any CFT with a gap and a planar expansion is generated via the AdS/CFT dictionary from a local bulk interaction. We establish this result by a counting argument on each side, and also investigate various properties of some explicit solutions. TI - Holography from Conformal Field Theory KW - ads KW - cft AU - Heemskerk, Idse AU - Penedones, Joao AU - Polchinski, Joseph AU - Sully, James PY - 2009/Aug/11/ UR - http://arxiv.org/abs/0907.0151 ER -