Duality and Integrability of Two Dimensional String Effective Action

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6pages, revtex, to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(02)01578-2

We present a prescription for constructing the monodromy matrix, $\hat{\cal M}(\omega)$, for $O(d,d)$ invariant string effective actions and derive its transformation properties under the $T$-duality group. This allows us to construct $\hat{\cal M}(\omega)$ for new backgrounds, starting from known ones, which are related by $T$-duality. As an application, we derive the monodromy matrix for the exactly solvable Nappi-Witten model, both when B=0 and $B\neq 0$.

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