caa a22 4500 469065206 CHVBK 20180323132906.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF02726888 doi (NATIONALLICENCE)springer-10.1007/BF02726888 Dynamical symmetries in topological 3D gravity with torsion [Elektronische Daten] [P. Baekler, E. Mielke, F. Hehl] Summary: Recently two of us generalized the topological massive gauge model of gravity of Deser, Jackiw, and Templeton (DJT) by liberating its translational gauge degrees of freedom. Consequently, the newR 3◯SO(1,2) gauge model <<lives>> in a 3-dimensional Riemann-Cartan space-time with torsion. The extended Lagrangian consists, of the familiar Einstein-Cartan term, the Chern-Simons 3-form for the curvature, and, in addition, of a new translational Chern-Simons term. In this article we uncover a <<dynamical symmetry>> of the new theory by inquiring how the two Noether identities, the two Bianchi identities, and the two field equations are interrelated to each other. This includes two important subcases in which the first Bianchi identity is mapped into the second one and the first (energy-momentum) Noether into the second (angular-momentum) Noether identity. As a furtherexact result, the topological gauge field equations imply a covariant Proca-type field equation, for the translational gauge potential,i.e. the coframe. Thus the theory encompasses massive gravitons, as in the DJT model. Società Italiana di Fisica, 1992 Unified field theories and other theories of gravitation nationallicence Quantum theory of gravitation nationallicence Models for gravitational interaction nationallicence Baekler P. Institute for Theoretical Physics, University of Cologne, D(W)-5000, Köln 41, Germany aut Mielke E. Institute for Theoretical Physics, University of Cologne, D(W)-5000, Köln 41, Germany aut Hehl F. Institute for Theoretical Physics, University of Cologne, D(W)-5000, Köln 41, Germany aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/1(1992-01-01), 91-110 107:1<91 1992 107 40764 https://doi.org/10.1007/BF02726888 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02726888 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baekler P. Institute for Theoretical Physics, University of Cologne, D(W)-5000, Köln 41, Germany aut NATIONALLICENCE 700 1- Mielke E. Institute for Theoretical Physics, University of Cologne, D(W)-5000, Köln 41, Germany aut NATIONALLICENCE 700 1- Hehl F. Institute for Theoretical Physics, University of Cologne, D(W)-5000, Köln 41, Germany aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/1(1992-01-01), 91-110 107:1<91 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer