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On the Gauge Theory/Geometry Correspondence | | Rajesh Gopakumar
; Cumrun Vafa
; | | Date: |
13 Nov 1998 | | Journal: | Adv.Theor.Math.Phys. 3 (1999) 1415-1443 | | Subject: | hep-th | | 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. | | Source: | arXiv, hep-th/9811131 | | Services: | Forum | Review | PDF | Favorites | |
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