Two interacting conformal Carroll particles
R. Casalbuoni, D. Dominici, Joaquim Gomis
Abstract
In this paper we analyze two different models of two interacting conformal Carroll particles that can be obtained as the Carrollian limit of two relativistic conformal particles. The first model describes particles with zero velocity and exhibits infinite dimensional symmetries which are reminiscent of the BMS symmetries. A second model of interaction of Carrollian particles is proposed, where the particles have nonzero velocity and therefore, as a consequence of the limit $c\ensuremath{\rightarrow}0$, are tachyons. Infinite dimensional symmetries are present also in this model.
Topics & Concepts
TachyonConformal mapHomogeneous spacePhysicsLimit (mathematics)Conformal symmetryMathematical physicsZero (linguistics)Theoretical physicsParticle (ecology)Classical mechanicsMathematical analysisGeometryMathematicsLinguisticsOceanographyPhilosophyGeologyNonlinear Waves and SolitonsNonlinear Photonic SystemsBlack Holes and Theoretical Physics