论文标题
相互作用的共形卡罗利亚理论：电动力学线索
Interacting Conformal Carrollian Theories: Cues from Electrodynamics
论文作者
论文摘要
我们构建了卡洛利亚电动力学的磁性领域的游离拉格朗日。该构建依赖于自我一致算法中微分方程的Helmholtz的集成性条件，并与无限尺寸的保形Carroll代数下施加不变性。它需要在动力学中包含新字段，并且系统没有规格的冗余。接下来，我们将相互作用（四分之一）术语添加到自由的拉格朗日，严格受共形不变性和卡洛利亚对称性的约束。在电荷代数级别，非semi简单无限的无限尺寸对称代数的动态实现是精确且无中心项的。
We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics. The construction relies on Helmholtz integrability condition for differential equations in a self consistent algorithm, working hand in hand with imposing invariance under infinite dimensional Conformal Carroll algebra. It requires inclusion of new fields in the dynamics and the system is free of gauge redundancies. We next add interaction (quartic) terms to the free Lagrangian, strictly constrained by conformal invariance and Carrollian symmetry. The dynamical realization of the non-semi simple infinite dimensional symmetry algebra at the level of charge algebra is exact and free from central terms.
