Super Carrollian algebras and super BMS algebras
Yu-fan Zheng
based on arXiv: 2503.22160, 2508.17925
Abstract: In this talk, I will present my recent works on supersymmetric extensions of the Carrollian (conformal) algebra and the BMS$_4$ algebra. Carrollian and BMS symmetries have garnered significant attention in recent years due to their key role in flat-space holography: Carrollian conformal symmetry is conjectured to describe boundary field theories, while BMS symmetry, as the asymptotic symmetry of flat spacetime, governs the bulk dynamics. Notably, the d-dimensional Carrollian conformal algebra is isomorphic to the global part of the BMS$_{d+1}$ algebra, and their supersymmetric extensions exhibit analogous relations.
My work reveals that these superalgebras differ fundamentally from the super Poincare algebra. Specifically, they admit fermionic generators with spins exceeding 1/2 and incorporate R-symmetry even in un-extended cases. These findings lay the groundwork for future studies on supersymmetry in flat-space holography.
Speaker intro: Dr. Yu-fan Zheng （郑宇凡）is a Postdoc at Beijing Institute of Mathematical Sciences and Applications (BIMSA). He obtained his PhD from School of Physics at Peking University in 2024. His research interests include flat space holography, celestial holography, Carrollian field theories, and super symmetry.