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The Liouville side of the vortex

TitleThe Liouville side of the vortex
Publication TypeJournal Article
Year of Publication2011
AuthorsBonelli, G, Tanzini, A, Zhao, J
JournalJHEP 09(2011)096

We analyze conformal blocks with multiple (semi-)degenerate field insertions in Liouville/Toda conformal field theories an show that their vector space is fully reproduced by the four-dimensional limit of open topological string amplitudes on the strip with generic boundary conditions associated to a suitable quiver gauge theory. As a byproduct we identify the non-abelian vortex partition function with a specific fusion channel of degenerate conformal blocks.


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