论文标题
双层的立方闭合字段理论
Cubic Closed String Field Theory on a Double Layer
论文作者
论文摘要
各种研究试图将Witten的立方开放式弦场理论扩展到立方封闭的弦场理论，该理论可以始终如一地描述低能领域的爱因斯坦重力。在本研究中，我们提出了一个立方封闭的弦字段理论，引入了双层层，以描述封闭的字符串世界表作为Witten Cubic Open String的开放字符串世界表的扩展。我们将封闭的弦世界表映射到复杂的平面上，其下半部平面完全被字符串世界表的延伸部分覆盖。使用绿色的函数在复杂平面上评估了Polyakov String Path积分，我们从中提取了Neumann函数和顶点操作员。我们根据此过程获得了一个和两个字符串顶点（身份），最后获得了Cubic String顶点操作员。值得注意的是，获得的立方弦散射幅度与爱因斯坦重力的立方重力相互作用一致。因此，所得的立方闭合字段理论一致地描述了爱因斯坦的重力。我们还表明，第一个量化字符串理论的Kawai-Lewellen-Tye（KLT）关系可以在立方闭合字段理论中表现出来。
Various studies have attempted to extend the Witten's cubic open string field theory to the cubic closed string field theory, which may describe Einstein gravity in the low energy sector consistently. In the present study we propose a cubic closed string field theory, introducing a double layer to describe the closed string world-sheet as an extension of the open string world-sheet of the Witten's cubic open string. We mapped the closed string world-sheet onto the complex plane, of which the lower half plane is completely covered by the extended part of the string world-sheet. Using the Green's function on the complex plane, evaluated the Polyakov string path integral, from which we extracted the Neumann functions and the vertex operators. We obtained the one and two string vertices (identities) following this procedure and finally the cubic string vertex operator. It is notable that the obtained cubic string scattering amplitude coincide with the cubic graviton interaction of the Einstein gravity. Thus, the resultant cubic closed string field theory consistently describes the Einstein gravity. We also show that the Kawai-Lewellen-Tye (KLT) relations of the first quantized string theory may be manifested in the cubic closed string field theory.
