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.
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Becker, K., Becker, M., Schwarz, J.: String Theory and M-Theory: A Modern Introduction. Cambridge University Press, Cambridge (2007); Zwiebach, B.: A First Course in String Theory. Cambridge University Press, Cambridge (2004)
Davidović, Lj., Sazdović, B.: Phys. Rev. D83, 066014 (2011); J. High Energy Phys. 08, 112 (2011); Eur. Phys. J. C72(11), 2199 (2012)
Davidović, Lj., Sazdović, B.: Eur. Phys. J. C74(1), 2683 (2014)
Buscher, T.: Phys. Lett. B194, 51 (1987); 201, 466 (1988); Ročer, M., Verlinde, E.: Nucl. Phys. B373, 630 (1992)
Davidović, Lj., Nikolić, B., Sazdović, B.: Eur. Phys. J. C74(1), 2734 (2014)
Lust, D.: J. High Energy Phys. 12, 084 (2010); Andriot, D., Larfors, M., Lust, D., Patalong, P.: J. High Energy Phys. 06, 021 (2013)
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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