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arXiv · 1505.07301

T-dualization in a curved background in absence of a global symmetry

Lj. Davidović·B. Sazdović
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Abstract

We investigate T-duality of a closed string moving in a weakly curved background of the second order. A previously discussed weakly curved background consisted of a flat metric and a linearly coordinate dependent Kalb-Ramond field with an infinitesimal strength. The background here considered differs from the above in a coordinate dependent metric of the second order. Consequently, the corresponding Ricci tensor is nonzero. As this background does not posses the global shift symmetry the generalized Buscher T-dualization procedure is not applicable to it. We redefine it and make it applicable to backgrounds without the global symmetry.

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Lj. Davidović, B. Sazdović. 2015-11-23. T-dualization in a curved background in absence of a global symmetry. https://doi.org/10.1007/jhep11(2015)119

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