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arXiv 0807.4722hep-th
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开弦场论的解析解

Analytical Solutions of Open String Field Theory

Ehud Fuchs, Michael Kroyter

备注：
Invited review for Physics Reports. v1: 106 p., 8 fig. v2: 108 p., minor changes. v3: 117 p., 9 fig., presentation modified and expanded in several places, typos corrected, ref. added and updated. v4: Published version. 125 p., 10 fig., further modifications of the presentation, ref. added and updated
发表信息：
Phys. Rep. 502, 89 (2011)
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摘要：

在这项工作中，我们回顾了Schnabl的玻色协变开弦场论的快子真空解的建设和随后的结果。我们调查弦场论研究的艺术状态，在此之前的建设重点森的结构和使用水平截断方法所获得的结果。快子真空解决方案可以用各种方式描述。我们描述了它的几何表示使用楔态，其形式的代数表示作为一个纯规范的解决方案和它的振子表示。我们还描述了这个解决方案的一些森的代数的分析证明。在真空解决方案中使用的工具可以适用于其他解决方案的构造，即各种边缘变形。我们提出了一些在这些解决方案的建设中使用的方法。详细解释了这些思想推广到开超弦场论。我们从阐述在超弦场论的构造中所面临的问题开始。然后，我们提出了超弦场论的三次和非多项式版本，并讨论了一个建议，建议他们的经典等价。最后，将玻色解推广到这种情况。特别是，我们专注于（有点令人惊讶的）推广的快子解决方案的情况下，没有快子的理论。

英文摘要：

In this work we review Schnabl's construction of the tachyon vacuum solution to bosonic covariant open string field theory and the results that followed. We survey the state of the art of string field theory research preceding this construction focusing on Sen's conjectures and the results obtained using level truncation methods. The tachyon vacuum solution can be described in various ways. We describe its geometric representation using wedge states, its formal algebraic representation as a pure-gauge solution and its oscillator representation. We also describe the analytical proofs of some of Sen's conjectures for this solution. The tools used in the context of the vacuum solution can be adapted to the construction of other solutions, namely various marginal deformations. We present some of the approaches used in the construction of these solutions. The generalization of these ideas to open superstring field theory is explained in detail. We start from the exposition of the problems one faces in the construction of superstring field theory. We then present the cubic and the non-polynomial versions of superstring field theory and discuss a proposal suggesting their classical equivalence. Finally, the bosonic solutions are generalized to this case. In particular, we focus on the (somewhat surprising) generalization of the tachyon solution to the case of a theory with no tachyons.

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