Abstract
We calculate the refined topological string partition function of the Calabi-Yau threefold which is the total space of the canonical bundle on \( {\mathrm{\mathbb{P}}}^2 \) (the local \( {\mathrm{\mathbb{P}}}^2 \)). The refined topological vertex formalism can not be directly applied to local \( {\mathrm{\mathbb{P}}}^2 \) therefore we use the properties of the refined Hopf link to define a new two legged vertex which together with the refined vertex gives the partition function of the local \( {\mathrm{\mathbb{P}}}^2 \).
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Iqbal, A., Kozçaz, C. Refined topological strings on local \( {\mathrm{\mathbb{P}}}^2 \) . J. High Energ. Phys. 2017, 69 (2017). https://doi.org/10.1007/JHEP03(2017)069
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DOI: https://doi.org/10.1007/JHEP03(2017)069