Abstract
It is shown that the generating function of \( \mathcal{N} \) = 2 topological strings, in the heterotic weak coupling limit, is identified with the partition function of a six-dimensional Melvin background. This background, which corresponds to an exact CFT, realises in string theory the six-dimensional Ω-background of Nekrasov, in the case of opposite deformation parameters ϵl = −ϵ2, thus providing the known perturbative part of the Nekrasov partition function in the field theory limit. The analysis is performed on both heterotic and type I strings and for the cases of ordinary \( \mathcal{N} \) = 2 and \( \mathcal{N} \) = 2* theories.
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Angelantonj, C., Antoniadis, I. The string geometry behind topological amplitudes. J. High Energ. Phys. 2020, 5 (2020). https://doi.org/10.1007/JHEP01(2020)005
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DOI: https://doi.org/10.1007/JHEP01(2020)005