2025/03/28 by Yufan Zheng, Zheng, Yu-fan, Бин Чэн +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2503.22160
openalex publication_date 2025/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we investigate possible supersymmetric extensions of the Carrollian algebra and the Carrollian conformal algebra in both d=4 and d=3. For the super-Carrollian algebra in d=4, we identify multiple admissible structures, depending on the representations of the supercharges with respect to the Carrollian rotation. Some of these structures can be derived by taking the speed of light c→ 0 limit from super-Poincaré algebra, but others are completely novel. In the conformal case, we demonstrate that the nontrivial Carrollian superconformal algebras for d=4 and d=3 are isomorphic to super-Poincaré algebra of d=5 and d=4 respectively. Remarkably, neither of these constructions requires R-symmetry to ensure the algebraic closure. Furthermore, we discover two distinct classes of super-BMS4 algebras, i.e. one singlet super-BMS4 algebra and two multiplet chiral super-BMS4 algebras. The singlet case arises from extending the 3D Carrollian superconformal algebra, whereas the multiplet cases do not admit this pathology due to their finite-dimensional subalgebra containing supercharges with conformal dimension Δ=±(3)/(2).