Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 60, Issue 3, Pages 417-429Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.geomphys.2009.11.006
Keywords
Chern-Simons theory; Gopakumar-Vafa; Large N duality; Open-closed duality; Topological strings; Geometric transitions; Random matrices
Categories
Funding
- European Science Foundation Programme Methods of Integrable Systems, Geometry, Applied Mathematics (MISGAM)
- Marie Curie RTN European Network in Geometry, Mathematical Physics and Applications (ENIGMA)
Ask authors/readers for more resources
We consider aspects of Chern-Simons theory on L(p, q) lens spaces and its relation with matrix models and topological string theory on Calabi-Yau threefolds, searching for possible new large N dualities via geometric transition for non-SU(2) cyclic quotients of the conifold. To this aim we find, on one hand, a useful matrix integral representation of the SU(N) CS partition function in a generic flat background for the whole L(p. q) family and provide a solution for its large N dynamics; on the other hand, we perform in full detail the construction of a family of would-be dual closed string backgrounds through conifold geometric transition from T*L(p, q). We can then explicitly prove the claim in [5] that Gopakumar-Vafa duality in a fixed vacuum fails in the case q > 1, and briefly discuss how it could be restored in a non-perturbative setting. (C) 2009 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available