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The Liouville side of the Vortex

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arxiv 1107.2787 v1 pith:S7GCFA6H submitted 2011-07-14 hep-th math-phmath.MP

The Liouville side of the Vortex

classification hep-th math-phmath.MP
keywords conformalblocksdegeneratefieldliouvillevortexamplitudesanalyze
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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