Abstract
Poisson–Lie T-duality is explained using the language of Courant algebroids.
Similar content being viewed by others
References
Brylinski, J.-L.: Loop spaces, characteristic classes and geometric quantization. Prog. Math. vol. 107. Birkhäuser, Boston (1993)
Bursztyn H., Cavalcanti G., Gualtieri M.: Reduction of Courant algebroids and generalized complex structures. Adv. Math 211(2), 726–765 (2007)
Cavalcanti, G., Gualtieri, M.: Generalized complex geometry and T-duality. In: A celebration of the mathematical legacy of raoul bott (CRM Proceedings & Lecture Notes), pp. 341–366. American Mathematical Society (2010)
Chen Z., Stienon M., Xu P.: On regular Courant algebroids. J. Symplectic Geom. 11(1), 1–24 (2013)
Gawędzki, K.: Topological actions in two-dimensional quantum field theories. In: Nonperturbative quantum field theory NATO ASI series, vol. 185, pp. 101–141. (1988)
Klimčík C., Ševera P.: Dual non-Abelian T-duality and the Drinfeld double. Phys. Lett. B 351, 455–462 (1995)
Klimčík C., Ševera P.: Open strings and D-branes in the WZNW model. Nucl.Phys. B 488, 653–676 (1997)
Liu Zh.-J., Weinstein A., Xu P.: Manin triples for Lie bialgebroids. J. Differ. Geom. 45(3), 547–574 (1997)
Ševera, P.: Letters to Alan Weinstein (1998–1999). http://sophia.dtp.fmph.uniba.sk/~severa/letters/
Ševera P.: Some title containing the words “homotopy” and “symplectic”, e.g. this one. Travaux mathématiques 16, 121–137 (2005)
Zucchini R.: Relative topological integrals and relative Cheeger-Simons differential characters. J. Geom. Phys 46, 355–393 (2003)
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported in part by the grant MODFLAT of the European Research Council and the NCCR SwissMAP of the Swiss National Science Foundation.
Rights and permissions
About this article
Cite this article
Ševera, P. Poisson–Lie T-Duality and Courant Algebroids. Lett Math Phys 105, 1689–1701 (2015). https://doi.org/10.1007/s11005-015-0796-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11005-015-0796-4