Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-02
Int.J.Mod.Phys. A19 (2004) 1579-1588
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, latex; references added, email address changed
Scientific paper
10.1142/S0217751X04017859
We discuss realizations of the SL(2,R) current algebra in the hyperbolic basis using free scalar fields. It has been previously shown by Satoh how such a realization can be used to describe the principal continuous representations of SL(2,R). We extend this work by introducing another realization that corresponds to the principal discrete representations of SL(2,R). We show that in these realizations spectral flow can be interpreted as twisting of a free scalar field. Finally, we discuss how these realizations can be obtained from the BTZ Lagrangian.
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