The Liouville side of the Vortex

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Date
2011-07-11
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SISSA
Abstract
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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25pages,11figures ; SISSA preprint - 36/2011/FM-EP
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