ZZ instantons and the non-perturbative dual of c = 1 string theory
ZZ instantons and the non-perturbative dual of c = 1 string theory
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ZZ 瞬子和 c = 1 弦理论的非微扰对偶
DOI：
10.1007/jhep05(2023)048
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发表时间：
2019
影响因子：
5.4
通讯作者：
Xi Yin
中科院分区：
文献类型：
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作者：
Bruno Balthazar;V. Rodríguez;Xi Yin
我们研究了c = 1弦理论中ZZ瞬子的影响，并证明了它们对散射振幅产生非微扰修正，而这些修正在闭合弦扇区内不饱和么正性。除了领先的非微扰阶，对数发散被取消之间的世界片图的不同的拓扑结构，由于Fischler-Susskind-Polchinski机制。我们提出c = 1弦理论中的闭弦真空与矩阵量子力学的一个状态是非微扰对偶的，在这个状态中，所有的散射态直到一个给定的能量，没有来自势的“另一边”的通量被自由费米子占据。在这样一个建议下，我们发现详细的协议，非微扰修正封闭弦振幅的世界面描述和对偶矩阵模型。
We study the effect of ZZ instantons in c = 1 string theory, and demonstrate that they give rise to non-perturbative corrections to scattering amplitudes that do not saturate unitarity within the closed string sector. Beyond the leading non-perturbative order, logarithmic divergences are canceled between worldsheet diagrams of different topologies, due to the Fischler-Susskind-Polchinski mechanism. We propose that the closed string vacuum in c = 1 string theory is non-perturbatively dual to a state of the matrix quantum mechanics in which all scattering states up to a given energy with no incoming flux from the “other side” of the potential are occupied by free fermions. Under such a proposal, we find detailed agreement of non-perturbative corrections to closed string amplitudes in the worldsheet description and in the dual matrix model.