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arXiv 2408.01418hep-th
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对称破缺相的全息对偶

Holographic duals of symmetry broken phases

Andrea Antinucci, Francesco Benini, Giovanni Rizi

AI总结:

该研究提出对称拓扑场论(SymTFTs)作为引力理论的全息对偶猜想,验证不同维度及对称结构下的例子,发现多种SymTFT与边界对称破缺的有效场论对偶,还推导了对U(N) QCD低能动力学有意义的宇称破缺相互作用。

摘要:

我们探索了对称拓扑场论(SymTFTs)作为引力理论的新解释,提出一种全息对偶:体SymTFT(通过规范合适的拉格朗日代数)与描述边界自发对称破缺的普适有效场论(EFT)对偶。我们在不同维度和多个涉及不同连续对称结构的例子中验证了这一猜想,包括非阿贝尔、非可逆对称以及高阶群。例如,许多阿贝尔SymTFT对偶于戈德斯通玻色子或广义麦克斯韦场的自由理论,而非阿贝尔SymTFT与目标空间由对称群定义的非线性σ模型相关。我们还将分析扩展到非可逆$\mathbb{Q}/\mathbb{Z}$轴矢对称,发现其对偶于轴子-麦克斯韦理论;并研究了四维非阿贝尔2-群结构,推导出一种新的宇称破缺相互作用,该作用对U(N) QCD的低能动力学具有意义。

英文摘要:

We explore a novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity, proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal effective field theory (EFT) that describes spontaneous symmetry breaking on the boundary. We test this conjecture in various dimensions and with many examples involving different continuous symmetry structures, including non-Abelian and non-invertible symmetries, as well as higher groups. For instance, we find that many Abelian SymTFTs are dual to free theories of Goldstone bosons or generalized Maxwell fields, while non-Abelian SymTFTs relate to non-linear sigma models with target spaces defined by the symmetry groups. We also extend our analysis to include the non-invertible $\mathbb{Q}/\mathbb{Z}$ axial symmetry, finding it to be dual to axion-Maxwell theory, and a non-Abelian 2-group structure in four dimensions, deriving a new parity-violating interaction that has implications for the low-energy dynamics of U(N) QCD.

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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