TY - JOUR
T1 - Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality
JF - J. Geom. Phys. 60 (2010) 417-429
Y1 - 2010
A1 - Andrea Brini
A1 - Luca Griguolo
A1 - Domenico Seminara
A1 - Alessandro Tanzini
AB - 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.
UR - http://hdl.handle.net/1963/2938
U1 - 1762
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - JOUR
T1 - Exact results for topological strings on resolved Yp,q singularities
JF - Comm. Math. Phys. 289 (2009) 205-252
Y1 - 2009
A1 - Andrea Brini
A1 - Alessandro Tanzini
UR - http://hdl.handle.net/1963/2631
U1 - 1492
U2 - Mathematics
U3 - Mathematical Physics
ER -