In this work, we extend a theory which describes a linearly self-dual exact 3-form field in six dimensional spacetime within the formalism of arXiv:1511.08220 and arXiv:1903.12196 to an action which fully describes an M5-brane in the eleven-dimensional supergravity background. The action we obtain has all the required symmetries including kappa-symmetry. Although the derivation of the action and the proof the symmetries do not require one to express the action explicitly in terms of the original field contents, we also give an initial attempt to give this expression.

A preprint version of the article is available at ArXiv.

中文翻译：

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具有自对偶3形式的协变M5脑膜动作

在这项工作中，我们将描述arXiv：1511.08220和arXiv：1903.12196形式上的六维时空中线性自对偶精确3形式场的理论扩展到在11维中完全描述M5膜的动作超重力背景。我们获得的动作具有所有必需的对称性，包括kappa对称性。尽管动作的推导和对称性的证明不需要用原始字段的内容来明确表示动作，但我们也作了一次尝试来给出这种表达。

该文章的预印本可在ArXiv上获得。