涡旋型相交杂化五膜上的手征零模
Chiral Zeromodes on Vortex-type Intersecting Heterotic Five-branes
摘要：
在E_8 \times E_8杂化弦论中，我们求解了Gaugino Dirac方程在一个涂抹相交五膜解上的局部手征零模.背景的选择取决于膜的全二维总横坐标。在适当的边界条件下，我们计算了零模的全谱，发现在无限多个傅里叶模中，只存在三个局部化的归一化零模，其中一个零模的手征性与另外两个零模相反.这与以前在畴壁型解中得到的结果一致，支持了在杂化五膜系统上存在一个净手征零模的观点。
英文摘要：
We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E_8\times E_8 heterotic string theory to search for localized chiral zeromodes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zeromodes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zeromodes, one of which has opposite chirality to the other two. This agrees with the result previously obtained in the domain-wall type solution, supporting the claim that there exists one net chiral zeromode localized on the heterotic five-brane system.
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