标题： 五维Weyl双拷贝 显示英文标题

标题： Five dimensional Weyl double copy

摘要： 韦尔双拷贝（WDC）关系将引力理论中的韦尔张量与麦克斯韦理论中的场强张量联系起来，这为经典双拷贝提供了具体的实现方式。 尽管已经进行了大量研究，但WDC仅限于四维时空。 在这封信中，我们将WDC关系推广到五维时空，这是高维WDC的第一个例子。 我们证明了一类特殊的五维类型N真空解具有一类特殊的退化麦克斯韦场，该场的平方给出了韦尔张量。 五维WDC关系定义了一个标量场，在弯曲背景下满足无源克莱因-戈登方程。 我们进一步验证了对于五维pp波解和Kundt解，麦克斯韦场和标量场也满足五维闵可夫斯基时空上的麦克斯韦方程和波动方程。 显示英文摘要

摘要： The Weyl double copy (WDC) relation connects the Weyl tensor of the gravity theory and the field strength tensor of the Maxwell theory, which provides a concrete realization of the classical double copy. Although intensively investigated, the WDC is only limited in four-dimensional spacetime. In this Letter, we generalize the WDC relation to five-dimensional spacetime, which offers the first example of the WDC in higher dimensions. We show that a special class of five-dimensional type N vacuum solutions admits a special class of degenerate Maxwell field that squares to give the Weyl tensor. The five-dimensional WDC relation defines a scalar field that satisfies the source-free Klein-Gordon equation on the curved background. We further verify that for five-dimensional pp-wave solution and Kundt solutions, the Maxwell fields and the scalar fields also satisfy the Maxwell's equations and the wave equation on five-dimensional Minkowski spacetime.