2019/05/30 by Dmitry Chernyavsky, Chernyavsky, Dmitry, Dmitri Sorokin +1 · 1 citation
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.1905.13154
openalex publication_date 2019/05/30 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
We show that an extended 3D Schr "odinger algebra introduced in [1] can be\nreformulated as a 3D Poincar 'e algebra extended with an SO(2) R-symmetry\ngenerator and an SO(2) doublet of bosonic spin-1/2 generators whose\ncommutator closes on 3D translations and a central element. As such, a\nnon-relativistic Chern-Simons theory based on the extended Schr "odinger\nalgebra studied in [1] can be reinterpreted as a relativistic Chern-Simons\ntheory. The latter can be obtained by a contraction of the SU(1,2)\×\nSU(1,2) Chern-Simons theory with a non principal embedding of SL(2, mathbb\nR) into SU(1,2). The non-relativisic Schr "odinger gravity of [1] and its\nextended Poincar 'e gravity counterpart are obtained by choosing different\nasymptotic (boundary) conditions in the Chern-Simons theory. We also consider\nextensions of a class of so-called l-conformal Galilean algebras, which\nincludes the Schr "odinger algebra as its member with l=1/2, and construct\nChern-Simons higher-spin gravities based on these algebras.\n