Abstract
We establish the elliptic blowup equations for E-strings and M-strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived from a path integral interpretation. We provide toric hypersurface construction for the Calabi-Yau geometries of M-strings and those of E-strings with up to three mass parameters turned on, as well as an approach to derive the perturbative prepotential directly from the local description of the Calabi-Yau threefolds. We also demonstrate how to systematically obtain blowup equations for all rank one 5d SCFTs from E-string by blow-down operations. Finally, we present blowup equations for E–M and M string chains.
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Gu, J., Haghighat, B., Klemm, A. et al. Elliptic blowup equations for 6d SCFTs. Part III. E-strings, M-strings and chains. J. High Energ. Phys. 2020, 135 (2020). https://doi.org/10.1007/JHEP07(2020)135
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DOI: https://doi.org/10.1007/JHEP07(2020)135