标题： 内弗-施瓦茨群和施瓦茨的扩展超 Mumford 形式 显示英文标题

标题： The Neveu-Schwarz group and Schwarz's extended super Mumford form

摘要： 1987年，阿尔伯特·施瓦茨提出了一种公式，该公式将超模空间中的超莫法形式扩展到超萨托 Grassmannian。他的公式是超tau函数的非常简单的组合。我们计算了超纽文施瓦兹作用于超tau函数上的作用，并表明施瓦茨扩展的莫法形式在超海森堡-纽文施瓦兹作用下是不变的，这加强了施瓦茨关于 Grassmannian 中的一个位置可以作为具有超弦理论应用的通用模空间的建议。在此过程中，我们构建了超纽文施瓦兹、超维特和超海森堡形式群。 显示英文摘要

摘要： In 1987, Albert Schwarz suggested a formula which extends the super Mumford form from the moduli space of super Riemann surfaces into the super Sato Grassmannian. His formula is a remarkably simple combination of super tau functions. We compute the Neveu-Schwarz action on super tau functions, and show that Schwarz's extended Mumford form is invariant under the the super Heisenberg-Neveu-Schwarz action, which strengthens Schwarz's proposal that a locus within the Grassmannian can serve as a universal moduli space with applications to superstring theory. Along the way, we construct the Neveu-Schwarz, super Witt, and super Heisenberg formal groups.