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arXiv 2402.19458hep-thcond-mat.str-el
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高群全局对称性与玻色子M5膜

Higher-group global symmetry and the bosonic M5 brane

Jay Armas, Giorgos Batzios, Akash Jain

AI总结:

本文研究高群对称性在超引力与膜耦合中的产生,构造低能戈德斯通有效理论,并给出玻色子M5膜的6群不变作用量,在有限温度下内在地实现自对偶性。

摘要:

高群对称性是各种场论中出现的多种高阶形式对称性的组合。本文中,我们解释了当10维和11维超引力耦合到膜源时,高群对称性是如何在其中产生的。受此观察启发,我们研究了在零温和有限温度下,具有一类连续阿贝尔高群对称性的场论。我们将分析限制在低能区域,其中动力学场内容仅由高群和时空对称性自发破缺产生的戈德斯通场组成。我们构造了不变量,并根据自发对称性破缺的模式对物质相进行了分类。关于超引力,我们强调了这些戈德斯通有效理论如何为D/M膜上的理论提供基于对称性的解释。作为明确例子,我们构造了一个与膜上3形式场强自对偶性一致的6群不变作用量,用于玻色子M5膜。虽然在玻色子情形下,自对偶条件在零温时需要作为约束外部施加,但我们发现了一个在有限温度下玻色子M5膜的平衡有效作用量,它内在地实现了自对偶性。

英文摘要:

Higher-group symmetries are combinations of higher-form symmetries which appear in various field theories. In this paper, we explain how higher-group symmetries arise in 10d and 11d supergravities when the latter are coupled to brane sources. Motivated by this observation, we study field theories at zero and finite temperature invariant under a class of continuous Abelian higher-group symmetries. We restrict the analysis to the low-energy regime where the dynamical field content exclusively consists of Goldstone fields arising from the spontaneous breaking of higher-group and spacetime symmetries. Invariant quantities are constructed and the phases of matter are classified according to the pattern of spontaneous symmetry breaking. With respect to supergravity, we highlight how such Goldstone effective theories provide a symmetry-based interpretation for the theories living on D/M-branes. As an explicit example we construct a 6-group invariant action for the bosonic M5 brane, consistent with the self-duality of the 3-form field strength on the brane. While the self-duality condition in the bosonic case needs to be imposed externally as a constraint at zero temperature, we find an equilibrium effective action for the bosonic M5 brane at finite temperature that inherently implements self-duality.

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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