|
Abstract
|
We have obtained exact three dimensional BTZ
type solutions with gauge fields, for string theory on a gauge
symmetric gravitational background constructed from semisimple
extension of the Poincaré algebra (and the Maxwell
algebra) in 2 + 1 dimensions. We have studied the models
for two non-Abelian and Abelian gauge fields solutions and
shown that the related sigma model for each of these backgrounds
is a SL(2, R)Wess–Zumino–Witten model and that
these models are classically canonically equivalent.We have
also obtained the dual solution for the Abelian case and by
interpreting the new field strength tensors of the Abelian
solution as electromagnetic field strength tensors shown
that dual models coincide with the charged black string
solution.
|