In |$U$|-duality-manifest formulations, supergravity fields are packaged into covariant objects such as the generalized metric and |$p$|-form fields |$mathcal A_p^{I_p}$|?. While a parameterization of the generalized metric in terms of supergravity fields is known for |$U$|-duality groups |$E_n$| with |$nleq 8$|?, a parameterization of |$mathcal A_p^{I_p}$| has not been fully determined. In this paper, we propose a systematic method to determine the parameterization of |$mathcal A_p^{I_p}$|?, which necessarily involves mixed-symmetry potentials. We also show how to systematically obtain the |$T$|- and |$S$|-duality transformation rules of the mixed-symmetry potentials entering the multiplet. As the simplest non-trivial application, we find the parameterization and the duality rules associated with the dual graviton. Additionally, we show that the 1-form field |$mathcal A_1^{I_1}$| can be regarded as the generalized graviphoton in the exceptional spacetime.
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机译：在| $ u $ | -duality-manifest配方，supergravity字段包装成Covariant对象，如广义度量标准和| $ P $ | -Form字段| $ Mathcal A_P ^ {I_P} $ |？虽然在Supletravity字段中的广义度量标准的参数化是$ U $ | -Duality Groups | $ e_n $ |与| $ n LEQ 8 $ |？，一个参数化| $ mathcal a_p ^ {i_p} $ |尚未完全确定。在本文中，我们提出了一种系统的方法来确定必须涉及混合对称电位的$ mathcal a_p ^ {i_p} $ |的参数化。我们还展示了如何系统地获取| $ T $ | - 和$ S $ | -Duality转换规则进入多重的混合对称电位。作为最简单的非琐碎应用程序，我们找到了与双重raviton相关联的参数化和二元规则。此外，我们表明1-Form Field | $ Mathcal A_1 ^ {i_1} $ |可以被视为卓越的时空中的广义graviphoton。
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