Modular and Holomorphic Graph Functions from Superstring Amplitudes

@article{Zerbini2018ModularAH,
  title={Modular and Holomorphic Graph Functions from Superstring Amplitudes},
  author={Federico Zerbini},
  journal={Texts \& Monographs in Symbolic Computation},
  year={2018}
}
  • Federico Zerbini
  • Published 12 July 2018
  • Mathematics
  • Texts & Monographs in Symbolic Computation
We compare two classes of functions arising from genus-one superstring amplitudes: modular and holomorphic graph functions. We focus on their analytic properties, we recall the known asymptotic behaviour of modular graph functions and we refine the formula for the asymptotic behaviour of holomorphic graph functions. Moreover, we give new evidence of a conjecture appeared in [4] which relates these two asymptotic expansions. 
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