标题： 三维中的二形式超引力、超弦耦合及Goldstino超场 显示英文标题

标题： Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions

摘要： 我们发展了三维反德西特超引力理论的非定域形式，这些理论在辅助场部分包含规范二形式：分别是 ${\cal N}=1$ 和 ${\cal N}=2$。这些形式被证明允许超引力与Green-Schwarz超弦的一致耦合，具有 ${\cal N}=1$ 或 ${\cal N}=2$ 的时空超对称性。除了具有 $\kappa$ 对称性之外，构造的Green-Schwarz超弦作用量还对目标空间的超共形变换不变。我们还详细研究了通过耦合已知的非定域 ${\cal N}=1$ 和 ${\cal N}=2$ 超引力理论与幂零Goldstino超场而得到的三维自发破缺局域超对称性模型。 显示英文摘要

摘要： We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow consistent couplings of supergravity to the Green-Schwarz superstring with ${\cal N}=1$ or ${\cal N}=2$ spacetime supersymmetry. In addition to being $\kappa$-symmetric, the Green-Schwarz superstring actions constructed are also invariant under super-Weyl transformations of the target space. We also present a detailed study of models for spontaneously broken local supersymmetry in three dimensions obtained by coupling the known off-shell ${\cal N}=1$ and ${\cal N}=2$ supergravity theories to nilpotent Goldstino superfields.