Geometry of D-branes for general N=(2,2) sigma models

Letters in Mathematical Physics

Volumn 70, Issue 3, 2004, Pages 211-221

  Zabzine, Maxim ^a,b  

^a LPTHE   (France)

^b Institut Mittag Leffler   (Sweden)

Author keywords

D branes; Generalized complex theory; String theory

Indexed keywords

EID: 15544379450     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-004-4296-1     Document Type: Article

References (21)

1. Albertsson, G, Lindström, U. and Zabzine, M.: N = 1 supersymmetric sigma model with boundaries. I, Commun. Math. Phys. 233 (2003) 403 [arXiv:hepth/0111161].
2. Albertsson, C., Lindström, U. and Zabzine, M.: N = 1 supersymmetric sigma model with boundaries. II, Nucl. Phys. B 678 (2004) 295 [arXiv:hep-th/0202069].
3. Alekseev, A. Y. and Schomerus, V.: D-branes in the WZW model, Phys. Rev. D 60 (1999) 061901 [arXiv:hep-th/9812193].
4. Ben-Bassat, O. and Boyarchenko, M.: Submanifolds of generalized complex manifolds, arXiv:math.DG/0309013.
5. Ben-Bassat, O.: Mirror symmetry and generalized complex manifolds, arXiv:math.AG/0405303.
6. Bonechi, F. and Zabzine, M.: Poisson sigma model over group manifolds, arXiv:hepth/0311213.
7. Cattaneo, A. S. and Felder, G.: Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model, arXiv:math.qa/0309180.
8. Felder, G., Frohlich, J., Fuchs, J. and Schweigert, C.: The geometry of WZW branes, J. Geom. Phys. 34 (2000) 162 [arXiv:hep-th/9909030].
9. Fidanza, S., Minasian, R. and Tomasiello, A.: Mirror symmetric SU(3)-structure manifolds with NS fluxes, arXiv:hep-th/0311122.
10. Gates, S. J., Hull, C. M. and Roček, M. Twisted multiplets and new supersymmetric nonlinear sigma models, Nucl. Phys. B 248 (1984) 157.
11. Gualtieri, M.: Generalized complex geometry, Oxford University DPhil thesis, arXiv:math.DG/0401221.
12. Hitchin, N.: Generalized Calabi-Yau manifolds, Q. J. Math. 54(3) (2003), 281-308, arXiv:math.DG/0209099.
13. Kapustin, A. and Orlov, D.: Vertex algebras, mirror symmetry, and D-branes: The case of complex tori, Commun. Math. Phys. 233 (2003) 79 [arXiv:hep-th/0010293].
14. Kapustin, A. and Orlov, D.: Remarks on A-branes, mirror symmetry, and the Fukaya category, arXiv:hep-th/0109098.
15. Kapustin, A.: Topological strings on noncommutative manifolds, arXiv:hep-th/0310057.
16. Lindström, U. and Zabzine, M.: N = 2 boundary conditions for non-linear sigma models and Landau-Ginzburg models, JHEP 0302 (2003) 006 [arXiv:hep-th/0209098].
17. Lindström, U. and Zabzine, M.: D-branes in N = 2 WZW models, Phys. Lett. B 560 (2003) 108 [arXiv:hep-th/0212042].
18. Lindström, U., Minasian, R., Tomasiello, A. and Zabzine, M.: Generalized complex manifolds and supersymmetry, arXiv:hep-th/0405085.
19. Lyakhovich, S. and Zabzine, M.: Poisson geometry of sigma models with extended supersymmetry, Phys. Lett. B 548 (2002) 243 [arXiv:hep-th/0210043].
20. Ooguri, H., Oz, Y. and Yin, Z.: D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [arXiv:hep-th/9606112].
21. Stanciu, S.: D-branes in group manifolds, JHEP 0001 (2000) 025 [arXiv:hepth/9909163].