2022/04/16 by Lukierski, Jerzy, Woronowicz, Mariusz
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2204.07787
The relativistic D=4 Snyder model is formulated in terms of D=4 dS algebra o(4,1) generators, with noncommutative Lorentz-invariant Snyder quantum space-time provided by (O(4,1))/(O(3,1)) coset generators. Analogously, in relativistic D=4 Yang models the quantum-deformed relativistic phase space is described by the algebras of coset generators (O(5,1))/(O(3,1)) or (O(4,2))/(O(3,1)). We extend these algebraic considerations by using respective dS superalgebras, which provide Lorentz-covariant quantum superspaces (SUSY Snyder model) as well as relativistic quantum phase super spaces (SUSY Yang model).