Asymptotic structure of Carrollian limits of Einstein-Yang-Mills theory in four spacetime dimensions

Abstract

In this paper, three things are done. First, we study from an algebraic point of view the infinite-dimensional BMS-like extensions of the Carroll algebra relevant to the asymptotic structure of the electric and magnetic Carrollian limits of Einstein gravity. In the course of this study we exhibit by "Carroll-Galileo duality" a new infinite-dimensional BMS-like extension of the Galilean algebra and of its centrally extended Bargmann algebra. Second, we consider the electric Carrollian limit of the pure Einstein theory and indicate that more flexible boundary conditions than the ones that follow from just taking the limit of the Einsteinian boundary conditions are actually consistent. These boundary conditions lead to a bigger asymptotic symmetry algebra that involves spatial supertranslations depending on three functions of the angles (instead of one). Third, we turn to the Carrollian limit of the coupled Einstein-Yang-Mills system. An infinite-dimensional color enhancement of the gauge algebra is found in the electric Carrollian limit of the Yang-Mills field, which allows angle-dependent Yang-Mills transformations at spatial infinity, not available in the Einstein-Yang-Mills case prior to taking the Carrollian electric limit. This enhancement does not occur in the magnetic limit.

34 pages, no figures

References in corpus (9)

• Conformal Carroll groups and BMS symmetry
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Carrollian Perspective on Celestial Holography
• Newtonian Gravity and the Bargmann Algebra
• Carroll Expansion of General Relativity
• Carrollian and celestial spaces at infinity
• Magnetic Carrollian gravity from the Carroll algebra
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Asymptotic symmetries of scalar electrodynamics and of the abelian Higgs model in Hamiltonian formulation

Cited by in corpus (14)

• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• Carrollian fluids and spontaneous breaking of boost symmetry
• Non-Lorentzian theories with and without constraints
• Carrollian Origin of Spacetime Subsystem Symmetry
• Carrollian Yang-Mills Theory
• Quantization of Carrollian conformal scalar theories
• Extended Kinematical 3D Gravity Theories
• Setting the connection free in the Galilei and Carroll expansions of gravity
• Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei
• Carroll-Schrödinger Equation
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations
• Electric/Magnetic Newton-Hooke and Carroll Jackiw-Teitelboim Gravity
• On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions