We present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different representation than the one obtained by gauging the Carroll algebra. Additionally, we show that this first-order action can be derived from a smooth Carrollian limit of the Einstein-Cartan action. The connection with the Hamiltonian and metric forms of the action for electric Carrollian gravity, as well as with previous works in the literature, is also discussed.
Trinity of Carrollian Gravity: Dynamically Equivalent Formulations of Magnetic Carrollian Gravity
Department of Physics, Faculty of Science, Ferdowsi University of Mashhad(马什哈德费尔多西大学理学院物理系);School of Physics, Institute for Research in Fundamental Sciences (IPM)(基础科学研究院物理学院)
Hamiltonian formulation of Carrollian Maxwell theory in Deformed Light-cone Kaluza-Klein-like Null reduction
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);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)
School of Basic and Applied Sciences, K. R. Mangalam University(K.R.曼加拉姆大学基础与应用科学学院);Saha Institute of Nuclear Physics(萨哈核物理研究所);Homi Bhabha National Institute(霍米·巴巴国立学院)
本文构建了Carrollian轴子电动力学理论,通过$c \ o 0$展开得到电型和磁型两类,发现磁型理论中存在Witten效应的Carrollian类比,但线性磁电效应消失。
Connections and dynamical trajectories in generalised Newton-Cartan gravity II. An ambient perspective
Institut Denis Poisson, Université de Tours, Université d’Orléans, CNRS(德尼·普瓦松研究所,图尔大学,奥尔良大学,法国国家科学研究中心);Departamento de Ciencias Físicas, Universidad Andres Bello(安第斯贝尔托大学物理科学系);Departamento de Física, Universidad Técnica Federico Santa María Centro Científico-Tecnológico de Valparaíso(费德里科·圣玛丽亚理工大学物理系,瓦尔帕莱索科技中心)
Carroll fermions from null reduction: A case of good and bad fermions
Center for Space, Time and the Quantum(时空与量子中心);Aix-Marseille Univ., Centre de Physique Thèorique(艾克斯-马赛大学,理论物理中心);Facultad de Ingeniería, Universidad San Sebastían(圣塞巴斯蒂安大学工程学院);Centro de Estudios Científicos (CECs)(科学研究中心);Department of Physics, Indian Institute of Technology Kharagpur(印度理工学院卡拉格普尔分校物理系)
Carroll Limit of $\mathcal{O}(F^2)$ $\text{D}_p$-branes from Kaluza--Klein-like Null reduction in the Polyakov Formulation
Hangzhou Institute for Advanced Study, UCAS(杭州高等研究院,中国科学院大学);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)
Multisymplectic Constraint Analysis of Scalar Field Theories, Chern-Simons Gravity, and Bosonic String Theory
De Donder-Weyl场论的(前)多辛几何被进一步发展用于各种场论,包括从规范克莱因-戈登作用量得到的标量场、电的和磁的卡罗尔标量场、从南武-后藤作用量得到的玻色子弦论,以及作为陈-西蒙斯理论的$2+1$引力。标量场论和$2+1$ Chern-Simons引力的拉格朗日量在De Donder-Weyl意义下是奇异的,而Nambu-Goto拉格朗日量是正则的.进一步,解释了奇异场论的前多辛相空间的约束结构,并将其应用于这些理论。最后,研究了在约束条件下,多辛相空间的对称性是如何发展的。