AI 中文总结
本文研究耦合高自旋的极小质量引力（MMG），提出含群值Stückelberg标量的扩展形式，构造带高自旋毛发的AdS$_2\times$S$^1$解并分析AdS$_3$周围高自旋模式的质量谱，为三维引力与高自旋耦合的研究提供新方向。
AI 中文摘要
在三维质量引力中，极小质量引力（MMG）因存在参数区域可使AdS体理论与对偶共形场论同时满足幺正性而独具特色。我们通过将其一阶形式的场提升为$\boldsymbol{\frak{sl}(N)}$取值的场，使MMG与有限层高自旋实现耦合；还提出含群值Stückelberg标量的扩展形式，该标量可实现因质量形变而破缺的高自旋平移对称性。随后，我们构造了带该质量理论特有的高自旋“毛发”的AdS$_2\times$S$^1$解，最终分析了AdS$_3$周围高自旋模式的质量谱。
英文摘要
Among three-dimensional massive gravities, Minimal Massive Gravity (MMG) is distinguished by a parameter regime in which the AdS bulk theory and the dual conformal field theory can be simultaneously unitary. We couple MMG to a finite tower of higher-spins by promoting the fields of its first-order formulation to $\mathfrak{sl}(N)$-valued ones. We also present an extended formulation involving a group-valued Stückelberg scalar, which realizes the higher-spin translations broken by the massive deformation. We then construct AdS$_2\times$S$^1$ solutions carrying higher-spin hair specific to the massive theory. Finally, we analyse the mass spectrum of the higher-spin modes around AdS$_3$.
Comments26 pages
