2016/12/22 by K. S. Narain, K.S. Narain, Nicolò Piazzalunga +3
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Euler characteristic #Holomorphic function #Invariant (physics) #Mathematical physics #Mathematics #Multiplet #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Orientifold #Physics #Pure mathematics #Quantum mechanics #String (physics) #String theory #Superstring theory #Supersymmetry #Theoretical physics #Topology (electrical circuits) #Worldsheet #hep-th
paper · pdf · doi:10.1007/jhep03(2017)080
published as JHEP (2017) 2017:80
arxiv created 2016/12/22 · openalex publication_date 2017/03/01 · arxiv updated 2017/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Gχ , at fixed worldsheet Euler characteristic χ. This corresponds in the low-energy effective action to 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 Fg .