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Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality | | Andrea Brini
; Luca Griguolo
; Domenico Seminara
; Alessandro Tanzini
; | | Date: |
9 Sep 2008 | | Abstract: | 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. | | Source: | arXiv, 0809.1610 | | Services: | Forum | Review | PDF | Favorites | |
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