Mathematical Physics
[Submitted on 12 Jul 2018
]
Title: Modular and holomorphic graph function from superstring amplitudes
Title: 从超弦振幅得出的模形式和全纯图函数
Abstract: 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 which relates these two asymptotic expansions.
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