论文标题

异国情调的旋转较高的旋转

Higher spins from exotic dualisations

论文作者

Boulanger, Nicolas, Lekeu, Victor

论文摘要

在自由水平上,给定的无质量场可以通过二重性相互关联的无限数量来描述。就年轻的tableaux而言,双重性将任何数量的高度$ h_i $替换为高度$ d-2-h_i $,其中$ d $是时空维度:尤其是,将此操作应用于空列会产生包含任意数量的$ d-2 $ d-2 $ drice AftryAnymetyAnymetyAnsmetrymetryMetrymetricricric Indices的电位。使用父行动的方法,可以从通常的行动原理(包括这些潜力)和额外的字段中得出。在本文中,我们重新审视了这种非壳双重性,并阐明了自由度的计数和额外领域的作用。除其他外,我们考虑了$ d = 5 $中的双重双重引力的示例,两种情况,一个拓扑和一个动态性,是异国情调的二元性,导致$ d = 3 $旋转三个领域。

At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace any number of columns of height $h_i$ by columns of height $D-2-h_i$, where $D$ is the spacetime dimension: in particular, applying this operation to empty columns gives rise to potentials containing an arbitrary number of groups of $D-2$ extra antisymmetric indices. Using the method of parent actions, action principles including these potentials, but also extra fields, can be derived from the usual ones. In this paper, we revisit this off-shell duality and clarify the counting of degrees of freedom and the role of the extra fields. Among others, we consider the examples of the double dual graviton in $D=5$ and two cases, one topological and one dynamical, of exotic dualities leading to spin three fields in $D=3$.

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