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arXiv 2107.14636hep-th
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非相对论性十维极小超引力

Non-Relativistic Ten-Dimensional Minimal Supergravity

E. A. Bergshoeff, J. Lahnsteiner, L. Romano, J. Rosseel, C. Simsek

摘要:

从对称性、作用量和运动方程的观点出发,构造了10维N=1超引力的非相对论极限。这个限制只能实现在一个超对称的方式提供了我们强加一套几何约束,不变的所有对称性的非相对论性理论,定义了所谓的“自对偶”膨胀不变的弦牛顿-嘉当几何。非相对论作用量呈现出三种对称性:一种局部尺度对称性和两种局部共形超对称性。由于这些新出现的对称性,牛顿势的泊松方程和两个伙伴费米子方程并不是从非相对论作用量的变化中得出的,而是通过其他运动方程的超对称变化得到的,这些运动方程确实是从非相对论作用量的变化中得出的。我们很快讨论了包含杨米尔斯部门,将导致一个非相对论性的杂化超引力作用。

英文摘要:

We construct a non-relativistic limit of ten-dimensional N=1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand a set of geometric constraints, invariant under all the symmetries of the non-relativistic theory, that define a so-called `self-dual' Dilatation-invariant String Newton-Cartan geometry. The non-relativistic action exhibits three emerging symmetries: one local scale symmetry and two local conformal supersymmetries. Due to these emerging symmetries the Poisson equation for the Newton potential and two partner fermionic equations do not follow from a variation of the non-relativistic action but, instead, are obtained by a supersymmetry variation of the other equations of motion that do follow from a variation of the non-relativistic action. We shortly discuss the inclusion of the Yang-Mills sector that would lead to a non-relativistic heterotic supergravity action.

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。

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