协变相空间与Carroll非BPS D$_p$-膜 的Carroll-Weyl $\chi$ 对称性
Covariant Phase Space and Carroll-Weyl $χ$ Symmetry of Carroll Non-BPS D$_p$-branes
- School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS（杭州高等研究院基础物理与数学学院，UCAS）
- Hangzhou Institute for Advanced Study, UCAS（杭州高等研究院，UCAS）
- Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）
- University of Chinese Academy of Sciences（中国科学院大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文分析Carroll非BPS D$_p$-膜的协变相空间，揭示电类与磁类约束代数差异，并证明Carroll-Weyl $\chi$ 变换受约束阻碍，仅真空扇区可提升为规范生成元。
AI中文摘要：
我们分析了Klusoň的规范Carroll非BPS D$_p$-膜作用的协变相空间。Carroll极限被表述为规范相空间的收缩：规范一形式在共轭对的标度下不变，而领头哈密顿约束在电类扇区和磁类扇区之间有所不同。这一差异控制了电类约束代数的弱闭合性和磁类哈密顿括号的更强闭合性。我们将携带$D-1$个局域相空间自由度的通用非BPS扇区与仅在施加二阶类背景条件后才携带$D-2$个自由度的快子真空扇区区分开来。我们还确定了通用电类扇区的秩条件及其在真空扇区中的加强。最后，我们证明Carroll-Weyl $\chi$ 变换保持辛形式并允许一个荷，但受到约束的阻碍，除高度受限的全局真空扇区外，不能提升为一阶规范生成元。这与零弦理论形成对比，在零弦理论中，受限的$\chi$对称性可以补全为额外的一阶约束。
英文摘要：
We analyze the covariant phase space of Klusoň's canonical Carroll non-BPS D$_p$-brane actions. The Carroll limit is formulated as a contraction of the canonical phase space: the canonical one-form is invariant under the scaling of conjugate pairs, while the leading Hamiltonian constraint differs between the electric-like and magnetic-like sectors. This difference controls the weak closure of the electric-like constraint algebra and the stronger closure of the magnetic-like Hamiltonian brackets. We separate the generic non-BPS sector, which carries $D-1$ local phase-space degrees of freedom, from the tachyon-vacuum sector, which carries $D-2$ only after imposing second-class background conditions. We also identify the rank condition for the generic electric-like sector and its strengthening in the vacuum sector. Finally, we show that the Carroll--Weyl $χ$ transformation, the matter-sector analogue of the null-string Carroll--Weyl symmetry, preserves the symplectic form and admits a charge, but is obstructed by the constraints and cannot be promoted to a first-class gauge generator except in a highly restricted global vacuum sector. The obstruction is algebraic in $χ$, so no restriction of its spacetime profile can remove it. This contrasts with null string theory, where a restricted $χ$-symmetry can be completed to an additional first-class constraint.
