Abstract
We apply the generalized Buscher procedure, to a subset of the initial coordinates of the bosonic string moving in the weakly curved background, composed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with the infinitesimal strength. In this way we obtain the partially T-dualized action. Applying the procedure to the rest of the original coordinates we obtain the totally T-dualized action. This derivation allows the investigation of the relations between the Poisson structures of the original, the partially T-dualized and the totally T-dualized theory.
Keywords
- Poisson Structure
- Infinitesimal Strength
- Closed String Action
- Antisymmetric Kalb-Ramond Field
- Background Field
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Acknowledgements
Work supported in part by the Serbian Ministry of Education, Science and Technological Development, under contract No. 171031.
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Davidović, L., Nikolić, B., Sazdović, B. (2014). Complete T-Dualization of a String in a Weakly Curved Background. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_2
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DOI: https://doi.org/10.1007/978-4-431-55285-7_2
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