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Real topological string amplitudes

TitleReal topological string amplitudes
Publication TypeJournal Article
Year of Publication2017
AuthorsNarain, KS, Piazzalunga, N, Tanzini, A
JournalJournal of High Energy Physics
Volume2017
Pagination80
Date PublishedMar
ISSN1029-8479
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 $\chi$. 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 $g'= −\chi+ 1$. 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 $\mathcal{F}_g$.

URLhttps://doi.org/10.1007/JHEP03(2017)080
DOI10.1007/JHEP03(2017)080

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