On the Gauge Theory/Geometry Correspondence TeX Export

@article{citeulike:4215061, abstract = {The 't Hooft expansion of SU(N) Chern-Simons theory on \$S^3\$ is proposed to be exactly dual to the topological closed string theory on the \$S^2\$ blow up of the conifold geometry. The \$B\$-field on the \$S^2\$ has magnitude \$Ng\_s=\lambda\$, the 't Hooft coupling. We are able to make a number of checks, such as finding exact agreement at the level of the partition function computed on {\it both} sides for arbitrary \$\lambda\$ and to all orders in 1/N. Moreover, it seems possible to derive this correspondence from a linear sigma model description of the conifold. We propose a picture whereby a perturbative D-brane description, in terms of holes in the closed string worldsheet, arises automatically from the coexistence of two phases in the underlying U(1) gauge theory. This approach holds promise for a derivation of the AdS/CFT correspondence.}, archivePrefix = {arXiv}, author = {Gopakumar, Rajesh and Vafa, Cumrun}, citeulike-article-id = {4215061}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9811131}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9811131}, day = {13}, eprint = {hep-th/9811131}, keywords = {ads-cft, chern-simons, conifold, duality}, month = {Nov}, posted-at = {2009-03-24 18:32:26}, priority = {2}, title = {On the Gauge Theory/Geometry Correspondence}, url = {http://arxiv.org/abs/hep-th/9811131}, year = {1998} }

TY - JOUR ID - citeulike:4215061 L3 - citeulike-article-id:4215061 N2 - The 't Hooft expansion of SU(N) Chern-Simons theory on $S^3$ is proposed to be exactly dual to the topological closed string theory on the $S^2$ blow up of the conifold geometry. The $B$-field on the $S^2$ has magnitude $Ng_s=\lambda$, the 't Hooft coupling. We are able to make a number of checks, such as finding exact agreement at the level of the partition function computed on {\it both} sides for arbitrary $\lambda$ and to all orders in 1/N. Moreover, it seems possible to derive this correspondence from a linear sigma model description of the conifold. We propose a picture whereby a perturbative D-brane description, in terms of holes in the closed string worldsheet, arises automatically from the coexistence of two phases in the underlying U(1) gauge theory. This approach holds promise for a derivation of the AdS/CFT correspondence. TI - On the Gauge Theory/Geometry Correspondence KW - ads-cft KW - chern-simons KW - conifold KW - duality AU - Gopakumar, Rajesh AU - Vafa, Cumrun PY - 1998/Nov/13/ UR - http://arxiv.org/abs/hep-th/9811131 ER -