Abstract
We discuss the physical superstring correlation functions in type I theory (or equivalently type II with orientifold) that compute real topological string amplitudes. We consider the correlator corresponding to holomorphic derivative of the real topological amplitude \( {\mathcal{G}}_{\chi } \), at fixed worldsheet Euler characteristic χ. This corresponds in the low-energy effective action to \( \mathcal{N}=2 \) Weyl multiplet, appropriately reduced to the orientifold invariant part, and raised to the power g′ = −χ + 1. We show that the physical string correlator gives precisely the holomorphic derivative of topological amplitude. Finally, we apply this method to the standard closed oriented case as well, and prove a similar statement for the topological amplitude \( {\mathrm{\mathcal{F}}}_g \).
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Narain, K.S., Piazzalunga, N. & Tanzini, A. Real topological string amplitudes. J. High Energ. Phys. 2017, 80 (2017). https://doi.org/10.1007/JHEP03(2017)080
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DOI: https://doi.org/10.1007/JHEP03(2017)080