Modular-invariant closed-string field theory.
Modular-invariant closed-string field theory.
复制标题
模不变闭弦场论。
DOI：
10.1103/physrevd.38.3067
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
J. Lykken
中科院分区：
文献类型：
--
作者：
M. Kaku;J. Lykken
迄今为止，构建协变闭弦场论的尝试都因模不变性似乎总是被违反而受挫。在树和循环级别上，模空间要么被无限次地高估，要么因为缺少一个区域而被低估。我们通过证明需要一个新的封闭四弦相互作用r来重现封闭弦的振幅，从而精确地填充缺失区域，从而解决了这个问题。这种封闭的四弦相互作用具有四面体的拓扑结构，是由几何弦场理论预测的。四面体图是通过规范固定几何理论的局部规范群，即统一弦群而产生的，它与QED中发现的瞬时四费米子库仑项完全对应。我们用解析法和直接计算机计算证明了这种四面体图的存在性，并指出它是再现夏皮罗-维拉索罗振幅的关键。
Attempts so far at constructing a covariant closed-string field theory have been frustrated by the fact that modular invariance always appears to be violated. At both the tree and loop levels, moduli space is either overcounted an infinite number of times, or undercounted because of a missing region. We solve this problem by demonstrating that a new Iclosed four-string interactionR is necessary to reproduce the closed-string amplitude which precisely fills the missing region. This closed four-string interaction, which has the topology of a tetrahedron, is predicted by geometric string field theory. The tetrahedron graph is generated by gauge fixing the geometric theory's local gauge group, the unified string group, and is the exact counterpart of the instantaneous four-fermion Coulomb term found in QED. We prove the existence of this tetrahedron graph both analytically and by direct computer calculation and show that it is the key to reproducing the Shapiro-Virasoro amplitude.