Real analytic solutions for marginal deformations in open superstring field theory
Real analytic solutions for marginal deformations in open superstring field theory
复制标题
开超弦场理论中边缘变形的实解析解
DOI：
10.1088/1126-6708/2007/09/082
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发表时间：
2007
影响因子：
4
通讯作者：
Y. Okawa
中科院分区：
文献类型：
--
作者：
Y. Okawa
在Berkovits的开超弦场论中，当边缘算子与相应的超共形原场的算子乘积是正则的时，我们构造了满足实性条件的边缘形变的解析解.我们的策略是基于Erler最近的观察，即在开超弦场论中寻找边缘形变解的问题可以归结为玻色子理论中的一个问题，即为某个被边缘形变参数标记的纯规范位形寻找一个有限规范参数。我们找到了一个由真实的规范参数产生的规范变换，它使形变参数发生无穷小的变化，并通过它的路径有序指数构造了一个有限的规范参数。通过构造，得到的解满足现实条件。
We construct analytic solutions for marginal deformations satisfying the reality condition in open superstring field theory formulated by Berkovits when operator products made of the marginal operator and the associated superconformal primary field are regular. Our strategy is based on the recent observation by Erler that the problem of finding solutions for marginal deformations in open superstring field theory can be reduced to a problem in the bosonic theory of finding a finite gauge parameter for a certain pure-gauge configuration labeled by the parameter of the marginal deformation. We find a gauge transformation generated by a real gauge parameter which infinitesimally changes the deformation parameter and construct a finite gauge parameter by its path-ordered exponential. The resulting solution satisfies the reality condition by construction.