3 research outputs found
Constrained Analysis of Topologically Massive Gravity
We quantize the Einstein gravity in the formalism of weak gravitational
fields by using the constrained Hamiltonian method. Special emphasis is given
to the 2+1 spacetime dimensional case where a (topological) Chern-Simons term
is added to the Lagrangian.Comment: 15 pages, IF-UFRJ-21/9
2D induced gravity from canonically gauged WZNW system
Starting from the Kac--Moody structure of the WZNW model for SL(2,R) and
using the general canonical formalism, we formulate a gauge theory invariant
under local SL(2,R) x SL(2,R) and diffeomorphisms. This theory represents a
gauge extension of the WZNW system, defined by a difference of two simple WZNW
actions. By performing a partial gauge fixing and integrating out some
dynamical variables, we prove that the resulting effective theory coincides
with the induced gravity in 2D. The geometric properties of the induced gravity
are obtained out of the gauge properties of the WZNW system with the help of
the Dirac bracket formalism.Comment: LaTeX, 21 page