Chern-Simons theory on L (p, q) lens spaces and Gopakumar-Vafa duality

Andrea Brini, Luca Griguolo, Domenico Seminara, Alessandro Tanzini*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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-S U (2) cyclic quotients of the conifold. To this aim we find, on one hand, a useful matrix integral representation of the S U (N) C S 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.

Original languageEnglish
Pages (from-to)417-429
Number of pages13
JournalJournal of Geometry and Physics
Issue number3
Early online date10 Nov 2009
Publication statusPublished - 1 Mar 2010


  • Chern-Simons theory
  • Geometric transitions
  • Gopakumar-Vafa
  • Large N duality
  • Open-closed duality
  • Random matrices
  • Topological strings

ASJC Scopus subject areas

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


Dive into the research topics of 'Chern-Simons theory on L (p, q) lens spaces and Gopakumar-Vafa duality'. Together they form a unique fingerprint.

Cite this