Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-15
Phys.Rev.D65:126001,2002
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, to be published in Physical Review D
Scientific paper
10.1103/PhysRevD.65.126001
The monodromy matrix, ${\hat{\cal M}}$, is constructed for two dimensional tree level string effective action. The pole structure of ${\hat{\cal M}}$ is derived using its factorizability property. It is found that the monodromy matrix transforms non-trivially under the non-compact T-duality group, which leaves the effective action invariant and this can be used to construct the monodromy matrix for more complicated backgrounds starting from simpler ones. We construct, explicitly, ${\hat{\cal M}}$ for the exactly solvable Nappi-Witten model, both when B=0 and $B\neq 0$, where these ideas can be directly checked. We consider well known charged black hole solutions in the heterotic string theory which can be generated by T-duality transformations from a spherically symmetric `seed' Schwarzschild solution. We construct the monodromy matrix for the Schwarzschild black hole background of the heterotic string theory.
Das Ashok
Maharana Jnan
Melikyan Armen
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