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Building blocks of closed and open string amplitudes
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Vanhove P., Zerbini F.
In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the holomorphic factorisation of conformal correlation functions on conformal blocks. We give a simple hands-on evaluation of the 𝛼 0 -expansion of tree-level closed string amplitudes displaying the special single-valued nature of the coefficients. We show that the same techniques can be used also at genus-one, where we give a new proof of the single-valued nature of the coefficients of 2-point closed string amplitudes. We conclude by giving an overview of some open problems.
In book
* T12: Detector R&D and Data Handling. Vol. 398: The European Physical Society Conference on High Energy Physics (EPS-HEP2021) . , Sissa Medialab Srl, 2022.