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arXiv 1812.04643hep-th
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任意SO(4)元旋转的三个D-膜中玻色弦的经典解

The Classical Solution for the Bosonic String in the Presence of Three D-branes Rotated by Arbitrary SO(4) Elements

Riccardo Finotello, Igor Pesando

摘要:

我们考虑SO(4)中三个具有相对旋转矩阵的D-膜对开弦组态的经典瞬子贡献,它对应于三个非阿贝尔扭曲场的相关器的经典部分的计算。我们将经典解写成两个超几何函数的乘积之和。与前面所有三个D-膜的情况不同,这个解不是全纯的,这表明经典玻色弦知道什么时候这个构型可能是超对称的。我们展示了如何这种配置减少到标准的阿贝尔扭曲场计算。从唯象的角度来看,在这种配置的交叉手征物质之间的汤川耦合相对于文献中的因式分解的情况下,更被抑制。

英文摘要:

We consider the classical instantonic contribution to the open string configuration associated with three D-branes with relative rotation matrices in SO(4) which corresponds to the computation of the classical part of the correlator of three non Abelian twist fields. We write the classical solution as a sum of a product of two hypergeometric functions. Differently from all the previous cases with three D-branes, the solution is not holomorphic and suggests that the classical bosonic string knows when the configuration may be supersymmetric. We show how this configuration reduces to the standard Abelian twist field computation. From the phenomenological point of view, the Yukawa couplings between chiral matter at the intersection in this configuration are more suppressed with respect to the factorized case in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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