Skip to main content
Log in

Poisson–Lie T-Duality and Courant Algebroids

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

Poisson–Lie T-duality is explained using the language of Courant algebroids.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brylinski, J.-L.: Loop spaces, characteristic classes and geometric quantization. Prog. Math. vol. 107. Birkhäuser, Boston (1993)

  2. Bursztyn H., Cavalcanti G., Gualtieri M.: Reduction of Courant algebroids and generalized complex structures. Adv. Math 211(2), 726–765 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  3. 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)

  4. Chen Z., Stienon M., Xu P.: On regular Courant algebroids. J. Symplectic Geom. 11(1), 1–24 (2013)

    Article  MathSciNet  Google Scholar 

  5. Gawędzki, K.: Topological actions in two-dimensional quantum field theories. In: Nonperturbative quantum field theory NATO ASI series, vol. 185, pp. 101–141. (1988)

  6. Klimčík C., Ševera P.: Dual non-Abelian T-duality and the Drinfeld double. Phys. Lett. B 351, 455–462 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  7. Klimčík C., Ševera P.: Open strings and D-branes in the WZNW model. Nucl.Phys. B 488, 653–676 (1997)

    Article  MATH  ADS  Google Scholar 

  8. Liu Zh.-J., Weinstein A., Xu P.: Manin triples for Lie bialgebroids. J. Differ. Geom. 45(3), 547–574 (1997)

    MathSciNet  Google Scholar 

  9. Ševera, P.: Letters to Alan Weinstein (1998–1999). http://sophia.dtp.fmph.uniba.sk/~severa/letters/

  10. Ševera P.: Some title containing the words “homotopy” and “symplectic”, e.g. this one. Travaux mathématiques 16, 121–137 (2005)

    Google Scholar 

  11. Zucchini R.: Relative topological integrals and relative Cheeger-Simons differential characters. J. Geom. Phys 46, 355–393 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pavol Ševera.

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

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11005-015-0796-4

Mathematics Subject Classification

Keywords

Navigation