On the Geometry of the Quantum Poincare Group
Paolo Aschieri
Abstract
We review the construction of the multiparametric inhomogeneous orthogonal quantum group ISOqr(N) as a projection from SOqr(N+2), and recall the conjugation that for N=4 leads to the quantum Poincare group. We study the properties of the universal enveloping algebra Uqr(iso(N)), and give an R-matrix formulation. A quantum Lie algebra and a bicovariant differential calculus on twisted ISO(N) are found.
Create a lesson
Related papers
A universal sector of N=1 class S spectra
Ritabrata Bhattacharya, Abhay Katyal, Oscar Varela
Reflected entropy and islands in JT gravity from partial dimensional reduction
Debarshi Basu, Himanshu Chourasiya
q-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions
Wasif Ahmed, Joydeep Naskar, Krishan Saraswat
Modular Properties of Generalised Gibbs Ensembles: The Deformed KdV Hierarchy
Faisal Karimi
The Quasiparticle Ansatz for Relativistic Continuous Matrix Product States
Silviu S. Pufu, Benjamin T. Søgaard, Spyros Terlemes
Anomaly induced transport in holographic superconductors
Ashis Tamang, Nishal Rai, Javier Esteban et al.