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arXiv 1705.07151hep-th
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再论c=1弦论S-矩阵

The c=1 String Theory S-Matrix Revisited

Bruno Balthazar, Victor A. Rodriguez, Xi Yin

摘要:

我们从世界面的角度重新审视c=1弦论的微扰S-矩阵。我们澄清的腿极因素的起源,弦振幅的非解析性,以及早期的计算共振动量的基础上的有效性和局限性。我们计算树级4点振幅和属一个2点反射振幅通过数值积分Virasoro共形块与DOZZ结构常数的球和环面上,具有足够通用的复杂的刘维尔动量,并找到协议与已知的答案从c=1矩阵模型。

英文摘要:

We revisit the perturbative S-matrix of c=1 string theory from the worldsheet perspective. We clarify the origin of the leg pole factors, the non-analyticity of the string amplitudes, and the validity as well as limitations of earlier computations based on resonance momenta. We compute the tree level 4-point amplitude and the genus one 2-point reflection amplitude by numerically integrating Virasoro conformal blocks with DOZZ structure constants on the sphere and on the torus, with sufficiently generic complex Liouville momenta, and find agreement with known answers from the c=1 matrix model.

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