https://doi.org/10.1140/epjc/s10052-015-3448-z
Regular Article - Theoretical Physics
Exact three dimensional black hole with gauge fields in string theory
Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran
* e-mail: rezaei-a@azaruniv.edu
Received:
7
March
2015
Accepted:
11
May
2015
Published online:
27
May
2015
We have obtained exact three dimensional BTZ type solutions with gauge fields, for string theory on a gauge symmetric gravitational background constructed from semi-simple extension of the Poincaré algebra (and the Maxwell algebra) in 
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 
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
