PoS - Proceedings of Science
Volume 383 - MathemAmplitudes 2019: Intersection Theory & Feynman Integrals (MA2019) - Session 2: Intersection Theory, Integral Relations and Applications to Physics
Building blocks of closed and open string amplitudes
P. Vanhove* and F. Zerbini
Full text: pdf
Published on: February 15, 2022
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.
DOI: https://doi.org/10.22323/1.383.0022
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