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Article Dans Une Revue PoS - Proceedings of Science Année : 2024

Building blocks of closed and open string amplitudes

Résumé

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 $\alpha'$-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.
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Dates et versions

hal-02903117 , version 1 (14-01-2021)

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P. Vanhove, Federico Zerbini. Building blocks of closed and open string amplitudes. PoS - Proceedings of Science, In press, 383, ⟨10.22323/1.383.0022⟩. ⟨hal-02903117⟩
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