标题： 走向真空超弦场论：超弦银针 显示英文标题

标题： Towards Vacuum Superstring Field Theory: The Supersliver

摘要： 我们将真空弦场理论的一些方面扩展到伯科维茨形式的超弦场理论，并研究费米物质部分的乘积代数。 在明确格罗斯和杰维奇算子形式中的相互作用顶点结构后，我们提供了基于无限维矩阵的超滑片态的代数构造。 该态是一个幂等弦场，并且用纯鬼BRST算符解决了超弦场理论运动方程的物质部分。 我们确定了费米物质部分中尼曼系数的无限维矩阵的特征值和特征向量谱。 然后我们分析基于超滑片的相干态，并利用它们来构造高阶投影器解，以及构造费米物质部分中乘积代数的闭合子代数。 最后，我们证明几何超滑片是超弦场理论运动方程的解，包括（超）鬼部分，使用了盖伊托、拉斯特埃利、森和兹维巴赫最近提出的规范真空BRST算符。 显示英文摘要

摘要： We extend some aspects of vacuum string field theory to superstring field theory in Berkovits' formulation, and we study the star algebra in the fermionic matter sector. After clarifying the structure of the interaction vertex in the operator formalism of Gross and Jevicki, we provide an algebraic construction of the supersliver state in terms of infinite-dimensional matrices. This state is an idempotent string field and solves the matter part of the equation of motion of superstring field theory with a pure ghost BRST operator. We determine the spectrum of eigenvalues and eigenvectors of the infinite-dimensional matrices of Neumann coefficients in the fermionic matter sector. We then analyze coherent states based on the supersliver and use them in order to construct higher-rank projector solutions, as well as to construct closed subalgebras of the star algebra in the fermionic matter sector. Finally, we show that the geometric supersliver is a solution to the superstring field theory equations of motion, including the (super)ghost sector, with the canonical choice of vacuum BRST operator recently proposed by Gaiotto, Rastelli, Sen and Zwiebach.