The Large N Limit of Superconformal Field Theories and Supergravity TeX Export

@misc{citeulike:514408, abstract = {We show that the large \$N\$ limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large \$N\$. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the super-Poincare group). The 't Hooft limit of 4-d \${\cal N} =4\$ super-Yang-Mills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various Anti-deSitter spacetimes are dual to various conformal field theories. This leads to a new proposal for a definition of M-theory which could be extended to include five non-compact dimensions.}, archivePrefix = {arXiv}, author = {Maldacena, Juan M.}, citeulike-article-id = {514408}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9711200}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9711200}, day = {22}, eprint = {hep-th/9711200}, keywords = {adscft, hep-th}, month = {Jan}, posted-at = {2006-10-18 19:13:55}, priority = {2}, title = {The Large N Limit of Superconformal Field Theories and Supergravity}, url = {http://arxiv.org/abs/hep-th/9711200}, year = {1998} }

TY - ELEC ID - citeulike:514408 L3 - citeulike-article-id:514408 N2 - We show that the large $N$ limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large $N$. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the super-Poincare group). The 't Hooft limit of 4-d ${\cal N} =4$ super-Yang-Mills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various Anti-deSitter spacetimes are dual to various conformal field theories. This leads to a new proposal for a definition of M-theory which could be extended to include five non-compact dimensions. TI - The Large N Limit of Superconformal Field Theories and Supergravity KW - adscft KW - hep-th AU - Maldacena, Juan PY - 1998/Jan/22/ UR - http://arxiv.org/abs/hep-th/9711200 ER -