%0 Journal Article
%J J. Geom. Phys. 60 (2010) 417-429
%D 2010
%T Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality
%A Andrea Brini
%A Luca Griguolo
%A Domenico Seminara
%A Alessandro Tanzini
%X 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, some novel matrix integral representations 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, we perform in full detail the construction of a family of would-be dual closed string backgrounds via conifold geometric transition from T^*L(p,q). We can then explicitly prove 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.
%B J. Geom. Phys. 60 (2010) 417-429
%G en_US
%U http://hdl.handle.net/1963/2938
%1 1762
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-12T16:01:18Z\\nNo. of bitstreams: 1\\n0809.1610v1.pdf: 287875 bytes, checksum: feadff501b37135585a6f62946b628de (MD5)
%R 10.1016/j.geomphys.2009.11.006
%0 Journal Article
%J Comm. Math. Phys. 289 (2009) 205-252
%D 2009
%T Exact results for topological strings on resolved Yp,q singularities
%A Andrea Brini
%A Alessandro Tanzini
%B Comm. Math. Phys. 289 (2009) 205-252
%G en_US
%U http://hdl.handle.net/1963/2631
%1 1492
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-04-16T11:13:40Z\\nNo. of bitstreams: 1\\npicard-b.pdf: 387933 bytes, checksum: 2261a0d091c9829eb1d1b55b77b1a42e (MD5)
%R 10.1007/s00220-009-0814-4