On the Gauge Theory/Geometry Correspondence
| dc.creator | Gopakumar, Rajesh | |
| dc.creator | Vafa, Cumrun | |
| dc.date | 1998-11-13 | |
| dc.date.accessioned | 2026-07-07T04:25:34Z | |
| dc.date.available | 2026-07-07T04:25:34Z | |
| dc.description | 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 $Ng_s=λ$, 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 $λ$ 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. | |
| dc.description | 23 pages, harvmac (b) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9811131 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9811131 | |
| dc.identifier | Adv.Theor.Math.Phys. 3 (1999) 1415-1443 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55796 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Gauge Theory/Geometry Correspondence | |
| dc.type | text |