论文标题
超级空间方法中的M5-Brane
M5-brane in the superspace approach
论文作者
论文摘要
由Sen的时空处方构建具有自动型场优势的理论的动机，我们提出了一个刚性的超级空间Lagrangian，描述了生活在一堆M5-BRANES上的非相互作用的张量多重，并包含田野上的所有物理约束，从而产生了自由度的固定匹配。此处采用的几何超空间方法提供了超级畸形的自然实现，并且特别适合于超级强度的耦合。但是，在这种表述中，当超空间拉格朗日量限制在时空时，3形场强度的（反）自以为是的特性就会丢失。我们提出了两个主要途径来解决这个问题：森时期结果的一阶超空间扩展，一旦琐碎地限于时空，它会产生所有动态方程，包括（反）自由度约束，对3型野外强度的（反）自由度约束，以及一种基于整体形式的理论的完整超级空间描述的可能方法。
Motivated by Sen's spacetime prescription for the construction of theories with self-dual field strengths, we present a rigid superspace Lagrangian describing noninteracting tensor multiplets living on a stack of M5-branes and containing all the physical constraints on the fields, yielding the on-shell matching of the degrees of freedom. The geometric superspace approach adopted here offers a natural realization of superdiffeomorphisms and is particularly well suited for the coupling to supergravity. However, within this formulation the (anti-)self-duality property of the 3-form field strengths is lost when the superspace Lagrangian is trivially restricted to spacetime. We propose two main paths to address this issue: a first-order superspace extension of Sen's spacetime results, which, once trivially restricted to spacetime, yields all the dynamical equations including the (anti-)self-duality constraint on the 3-form field strengths, and a possible way to obtain a full superspace description of the theory, based on integral forms.
