We study large N dualities for a class of N = 1 theories realized on type IIB D5 branes wrapping two-cycles of local Calabi-Yau three-fold which is obtained from resolving orbifolded conifolds or as effective field theories on D4 branes in type IIA brane configurations. The field theory is N = 1 supersymmetric ∏ U (Nij) Yang-Mills gauge theory. Strong coupling effects are analyzed in the deformed geometry. We propose closed string duality via a geometric transition in toric geometry. The T-dual type IIA picture and M-theory lifting are also considered.
Bibliographical noteFunding Information:
We would like to thank Jae-Suk Park, Jong-Dae Park and Sang-Heon Yi for inspiring discussions and encouragement. This work was supported by Brain Pool program No. 031S-1-6 from The Korean Federation of Science and Technology Societies. K.O. thanks IPAP at Yonsei University for warm hospitality during his visit. The work of S.H. was supported by the Basic Research Program of the Korea Science and Engineering Foundation under grant number R01-2004-000-10651-0.
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology