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arXiv hep-th/9801034hep-th
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杂种优势$Spin(32)/Z_2$的矩阵模型与I型弦论

A Matrix Model for Heterotic $Spin(32)/Z_2$ and Type I String Theory

Morten Krogh

摘要:

我们考虑杂波弦论在DLCQ。我们导出了Spin(32)/ $Z_2$杂化理论的矩阵模型是存在于N个缠绕在一个圆上的I型D弦上的理论,而圆上没有Spin(32)/ $Z_2$ Wilson线.这是一个O(N)的规范理论。我们重新推导了$\e8$杂化弦论的矩阵模型,明确地考虑了类光圆周围的威尔逊线。结果与自旋(32)/ $Z_2$的理论相同,只是现在圆上有一条威尔逊线。我们还看到,标记O(N)矩阵模型扇区的整数N不仅仅是围绕类光圆的动量,而是取决于威尔逊线的移动动量。我们讨论了能级匹配、GSO投影以及为什么从矩阵理论的观点来看,$\e8$理论而不是Spin(32)/ $Z_2$发展了强耦合的第11维。此外,I型矩阵理论的推导。这又是O(N)理论在I型D弦上的应用。对于小的I型耦合,系统是0+1维量子力学。

英文摘要:

We consider Heterotic string theories in the DLCQ. We derive that the matrix model of the Spin(32)/$Z_2$ Heterotic theory is the theory living on N D-strings in type I wound on a circle with no Spin(32)/$Z_2$ Wilson line on the circle. This is an O(N) gauge theory. We rederive the matrix model for the $\e8$ Heterotic string theory, explicitly taking care of the Wilson line around the lightlike circle. The result is the same theory as for Spin(32)/$Z_2$ except that now there is a Wilson line on the circle. We also see that the integer N labeling the sector of the O(N) matrix model is not just the momentum around the lightlike circle, but a shifted momentum depending on the Wilson line. We discuss the aspect of level matching, GSO projections and why, from the point of view of matrix theory the $\e8$ theory, and not the Spin(32)/$Z_2$, develops an 11'th dimension for strong coupling. Furthermore a matrix theory for type I is derived. This is again the O(N) theory living on the D-strings of type I. For small type I coupling the system is 0+1 dimensional quantum mechanics.

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