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.
The Liouville side of the Vortex / Bonelli, G.; Tanzini, A.; Zhao, J.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2011:9(2011), pp. 1-23. [10.1007/JHEP09(2011)096]
The Liouville side of the Vortex
Bonelli, G.;Tanzini, A.;
2011-01-01
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.| File | Dimensione | Formato | |
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