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arXiv 0903.1273hep-th
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纯规范位形和费米子超弦场论运动方程的解

Pure Gauge Configurations and Solutions to Fermionic Superstring Field Theories Equations of Motion

I. Ya. Aref'eva, R. V. Gorbachev, P. B. Medvedev

摘要:

本文讨论了三次费米子弦场论运动方程解的最新结果以及非多项式和三次弦场论的等价性。为了能够以统一的方式处理GSO(+)和GSO(-)扇区,使用了NS费米SFT的矩阵公式。在构造开弦场论的解析解时,由楔形态参数化的截断纯规范位形起着至关重要的作用。给出了NS费米SFT参数化的矩阵形式。以立方开超弦场论为例,我们明确地证明了,对于大参数的微扰展开,这些截断的纯规范组态对楔态子空间上的运动方程有发散的贡献。通过增加额外的项来解决微扰展开,这些额外的项只是满足与解本身收缩的运动方程所必需的项。

英文摘要:

Recent results on solutions to the equation of motion of the cubic fermionic string field theory and an equivalence of non-polynomial and cubic string field theories are discussed. To have a possibility to deal with both GSO(+) and GSO(-) sectors in the uniform way a matrix formulation for the NS fermionic SFT is used. In constructions of analytical solutions to open string field theories truncated pure gauge configurations parameterized by wedge states play an essential role. The matrix form of this parametrization for the NS fermionic SFT is presented. Using the cubic open superstring field theory as an example we demonstrate explicitly that for the large parameter of the perturbation expansion these truncated pure gauge configurations give divergent contributions to the equation of motion on the subspace of the wedge states. The perturbation expansion is cured by adding extra terms that are nothing but the terms necessary for the equation of motion contracted with the solution itself to be satisfied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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