论文标题

Chern-simons超级歧管上的超级重力

Chern-Simons Supergravity on Supergroup Manifolds

论文作者

Castellani, L., Cremonini, C. A., Grassi, P. A.

论文摘要

我们在组歧管方法中构建n = 1 d = 3 ads超级实力,并将其与同一理论的Achucarro-Townsend Chern-Simons公式进行比较。我们阐明了Chern-Simons理论的脱壳超级仪转换与群体歧管动作的脱壳超对称转换之间的关系。我们在双重对称作用中制定了Achucarro-townsend模型,其中Chern-Simons理论带有超组规格对称性,在超组歧管上构建。该框架对于建立自由度和辅助场的对应关系很有用,d = 3超级重力。

We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the Chern-Simons theory and the off-shell worldvolume supersymmetry transformations of the group manifold action. We formulate the Achucarro-Townsend model in a double supersymmetric action where the Chern-Simons theory with a supergroup gauge symmetry is constructed on a supergroup manifold. This framework is useful to establish a correspondence of degrees of freedom and auxiliary fields between the two descriptions of d=3 supergravity.

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