Lj. Davidović, B. Sazdović
We consider the closed string propagating in the weakly curved background which consists of constant metric and Kalb-Ramond field with infinitesimally small coordinate dependent part. We perform T-duality transformations along coordinates on which the Kalb-Ramond field depends. For the closed string in the weakly curved background, this is still the isometry. We obtain the T-dual theory defined in the nongeometric double space, described by the Lagrange multiplier $y_\mu$ and its $T$-dual in absence of background fields $\tilde{y}_\mu$. We find the global symmetry of the $T$-dual theory, in the doubled target space and the procedure to return to the initial theory. We demonstrate the standard relations between T-dual theories that the equations of motion and momenta modes of one theory are the Bianchi identities and the winding modes of the other.
View original:
http://arxiv.org/abs/1205.1991
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