SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings
SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings
复制标题
二维 IIA 型超弦矩阵模型中非微扰动力学的 SUSY 破坏
DOI：
10.1016/j.nuclphysb.2013.09.005
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发表时间：
2013
影响因子：
2.8
通讯作者：
Hiroshi Suzuki
中科院分区：
文献类型：
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作者：
Michael G. Endres;Tsunehide Kuroki;Fumihiko Sugino;Hiroshi Suzuki
在非平凡Ramond-Ramond背景下，我们显式计算了对应于二维IIA型超弦理论的超对称双势垒矩阵模型中的非微扰效应。我们解析地确定了完整的单瞬子对自由能和一点函数的贡献，包括围绕单瞬子背景的所有微扰涨落。还确定了前导阶双瞬子的贡献。我们看到，超对称性被瞬子自发破坏，并且在采用双标度极限后，这种破坏仍然存在，这从矩阵模型实现了IIA型理论。结果表明，在IIA理论的靶空间中，超对称性自发破缺是通过非微扰动力学发生的。此外，我们通过递归计算正交多项式来确定完全非摄动效应。即使在相应的IIA理论的强耦合极限下，矩阵模型的自由能也是明确的和有限的。这一结果可能表明，弱耦合理论是二维IIA型超弦理论的S对偶。
We explicitly compute nonperturbative effects in a supersymmetric double-well matrix model corresponding to two-dimensional type IIA superstring theory on a nontrivial Ramond–Ramond background. We analytically determine the full one-instanton contribution to the free energy and one-point function, including all perturbative fluctuations around the one-instanton background. The leading order two-instanton contribution is determined as well. We see that supersymmetry is spontaneously broken by instantons, and that the breaking persists after taking a double scaling limit which realizes the type IIA theory from the matrix model. The result implies that spontaneous supersymmetry breaking occurs by nonperturbative dynamics in the target space of the IIA theory. Furthermore, we numerically determine the full nonperturbative effects by recursive evaluation of orthogonal polynomials. The free energy of the matrix model appears well-defined and finite even in the strongly coupled limit of the corresponding type IIA theory. The result might suggest a weakly coupled theory appearing as an S-dual to the two-dimensional type IIA superstring theory.