arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0806.4723hep-th
收藏

有边界的简单d=4超引力

Simple d=4 supergravity with a boundary

Dmitry V. Belyaev, Peter van Nieuwenhuizen

摘要:

为了构造刚性或局部超对称的体加边界作用量,需要对通常的张量演算进行扩展。其关键成分是延伸的(F-,D-等)。密度公式和规则的散装多重分解成(余维一)边界多重。通过计算d=4 N=1庞加莱超引力的这些成分,我们发现了R对称性所起的特殊作用(在我们以前研究的d=3 N=1的情况下是不存在的)。$U(1)_A$的R-对称性必须加以规范,这使我们用$U(1)_A$补偿器$a$来扩展辅助场S,P,A_μ的旧极小集。我们的结果包括"F+ A“密度公式,诱导超对称变换的" Q+L+ A”公式(接近标准d=3 N=1代数),以及补偿子$a$是外曲率多重态的第一分量的证明.我们依赖于超共形的方法,使我们能够并行地对新的最小超引力进行相同的分析。

英文摘要:

To construct rigidly or locally supersymmetric bulk-plus-boundary actions, one needs an extension of the usual tensor calculus. Its key ingredients are the extended (F-, D-, etc.) density formulas and the rule for the decomposition of bulk multiplets into (co-dimension one) boundary multiplets. Working out these ingredients for d=4 N=1 Poincaré supergravity, we discover the special role played by R-symmetry (absent in the d=3 N=1 case we studied previously). The $U(1)_A$ R-symmetry has to be gauged which leads us to extend the old-minimal set of auxiliary fields S, P, A_μby a $U(1)_A$ compensator $a$. Our results include the ``F+A'' density formula, the ``Q+L+A'' formula for the induced supersymmetry transformations (closing into the standard d=3 N=1 algebra) and demonstration that the compensator $a$ is the first component of the extrinsic curvature multiplet. We rely on the superconformal approach which allows us to perform, in parallel, the same analysis for new-minimal supergravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑