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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ArXiv ePrint: 1505.07301
Work supported in part by the Serbian Ministry of Education, Science and Technological Development, under contract No. 171031.
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Davidović, L., Sazdović, B. T-dualization in a curved background in absence of a global symmetry. J. High Energ. Phys. 2015, 119 (2015). https://doi.org/10.1007/JHEP11(2015)119
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DOI: https://doi.org/10.1007/JHEP11(2015)119