An N = 2 worldsheet approach to D-branes in bihermitian geometries: II. the general case

Journal of High Energy Physics

Volumn 2009, Issue 9, 2009, Pages

  Sevrin, Alexander ^a   Staessens, Wieland ^a   Wijns, Alexander ^b,c  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^b NORDITA   (Denmark)

^c UNIVERSITY OF ICELAND   (Iceland)

Author keywords

D branes; Sigma models; Superspaces

Indexed keywords

EID: 70350234830     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/09/105     Document Type: Article

References (52)

1. S. Kachru, R. Kallosh, A. Linde and S.P. Trivedi, 2003 de Sitter vacua in string theory, Phys. Rev. D 68 046005 [hep-th/0301240]
2. N. Berkovits, 2000 Super-Poincaré covariant quantization of the superstring, JHEP 04(2000)018 [hep-th/0001035]
3. L. Álvarez-Gaumé and D.Z. Freedman, 1981 Geometrical Structure and Ultraviolet Finiteness in the Supersymmetric σ-model, Commun. Math. Phys. 80 443
4. J. Gates, S. J., C.M. Hull and M. Roček, 1984 Twisted Multiplets and New Supersymmetric Nonlinear σ-models, Nucl. Phys. B 248 157
5. T.L. Curtright and C.K. Zachos, 1984 Geometry, Topology and Supersymmetry in Nonlinear Models, Phys. Rev. Lett. 53 1799
6. P.S. Howe and G. Sierra, 1984 Two-dimensional supersymmetric nonlinear σ-models with torsion, Phys. Lett. B 148 451
7. U. Lindström, M. Roček, R. von Unge and M. Zabzine, 2007 Generalized Kähler manifolds and off-shell supersymmetry, Commun. Math. Phys. 269 833 [hep-th/0512164]
8. T. Buscher, U. Lindström and M. Roček, 1988 New supersymmetric σ-models with Wess-Zumino terms, Phys. Lett. B 202 94
9. I.T. Ivanov, B.-b. Kim and M. Roček, 1995 Complex structures, duality and WZW models in extended superspace, Phys. Lett. B 343 133 [hep-th/9406063]
10. A. Sevrin and J. Troost, 1997 Off-shell formulation of N=2 non-linear σ-models, Nucl. Phys. B 492 623 [hep-th/9610102]
11. J. Bogaerts, A. Sevrin, S. van der Loo and S. Van Gils, 1999 Properties of semi-chiral superfields, Nucl. Phys. B 562 277 [hep-th/9905141]
12. J. Maes and A. Sevrin, 2006 A note on N = (2,2) superfields in two dimensions, Phys. Lett. B 642 535 [hep-th/0607119]
13. H. Ooguri, Y. Oz and Z. Yin, 1996 D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 407 [hep-th/9606112]
14. A. Hanany and K. Hori, 1998 Branes and N=2 theories in two dimensions, Nucl. Phys. B 513 119 [hep-th/9606112]
15. K. Hori, A. Iqbal and C. Vafa, D-branes and mirror symmetry, [hep-th/0005247]
16. K. Hori, Linear models of supersymmetric D-branes, [hep-th/0012179]
17. C. Albertsson, U. Lindström and M. Zabzine, 2003 N = 1 supersymmetric σ-model with boundaries. I, Commun. Math. Phys. 233 403 [hep-th/0111161]
18. C. Albertsson, U. Lindström and M. Zabzine, 2004 N = 1 supersymmetric σ-model with boundaries. II, Nucl. Phys. B 678 295 [hep-th/0202069]
19. U. Lindström and M. Zabzine, 2003 N = 2 boundary conditions for non-linear σ-models and Landau-Ginzburg models J. High Energy Phys. JHEP 02(2003)006 [hep-th/0209098]
20. U. Lindström, M. Roček and P. van Nieuwenhuizen, 2003 Consistent boundary conditions for open strings, Nucl. Phys. B 662 147 [hep-th/0211266]
21. P. Koerber, S. Nevens and A. Sevrin, 2003 Supersymmetric non-linear σ-models with boundaries revisited J. High Energy Phys. JHEP 11(2003)066 [hep-th/0309229]
22. A. Sevrin, W. Staessens and A. Wijns, 2007 The world-sheet description of A and B branes revisited, JHEP 11(2007)061 [0709.3733]
23. A. Sevrin, W. Staessens and A. Wijns, 2008 An N=2 worldsheet approach to D-branes in bihermitian geometries: I. Chiral and twisted chiral fields, JHEP 10(2008)108 [0809.3659]
24. A. Sevrin, W. Staessens and A. Wijns, 2009 N = 2 world-sheet approach to D-branes on generalized Kähler geometries: I. General formalism, Fortsch. Phys. 57 684 [0810.5355]
25. C.M. Hull, U. Lindström, M. Roček, R. von Unge and M. Zabzine, Generalized Kähler geometry and gerbes, [0811.3615]
26. A. Kapustin and D. Orlov, 2003 Remarks on A-branes, mirror symmetry and the Fukaya category, J. Geom. Phys. 48 84 [hep-th/0109098]
27. S. Nevens, A. Sevrin, W. Troost and A. Wijns, 2006 Derivative corrections to the Born-Infeld action through β-function calculations in N=2 boundary superspace, JHEP 08(2006)086 [hep-th/0606255]
28. N. Hitchin, 2003 Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 281 [math/0209099]
29. M. Gualtieri, 2003 Generalized complex geometry, Ph.D Thesis, Oxford University [math/0401221]
30. Generalized complex geometry, [math/0703298]
31. M. Zabzine, 2004 Geometry of D-branes for general N = (2,2) σ-models, Lett. Math. Phys. 70 211 [hep-th/0405240]
32. S. Lyakhovich and M. Zabzine, 2002 Poisson geometry of σ-models with extended supersymmetry, Phys. Lett. B 548 243 [hep-th/0210043]
33. M. Gualtieri, Branes on Poisson varieties, [0710.2719]
34. A. Kapustin, A-branes and noncommutative geometry, [hep-th/0502212]
35. M.T. Grisaru, M. Massar, A. Sevrin and J. Troost, 1999 Some aspects of N = (2,2), D=2 supersymmetry, Fortsch. Phys. 47 301 [hep-th/9801080]
36. J. Gates, S. J., M.T. Grisaru and M.E. Wehlau, 1996 A Study of General 2D, N=2 Matter Coupled to Supergravity in Superspace, Nucl. Phys. B 460 579 [hep-th/9509021]
37. S.J. Gates Jr. and W. Siegel, 1981 Variant superfield representations, Nucl. Phys. B 187 389
38. B.B. Deo and S.J. Gates, 1985 Comments on nonminimal N=1 scalar multiplets, Nucl. Phys. B 254 187
39. U. Lindström, M. Roček, I. Ryb, R. von Unge and M. Zabzine, 2007 New N = (2, 2) vector multiplets, JHEP 08(2007)008 [0705.3201]
40. S.J. Gates Jr. and W. Merrell, 2007 D=2 N=(2,2) Semi Chiral Vector Multiplet, JHEP 10(2007)035 [0705.3207]
41. U. Lindström, M. Roček, I. Ryb, R. von Unge and M. Zabzine, 2008 T-duality and Generalized Kähler Geometry J. High Energy Phys. JHEP 02(2008)056 [0707.1696]
42. W. Merrell and D. Vaman, 2008 T-duality, quotients and generalized Kähler geometry, Phys. Lett. B 665 401 [0707.1697]
43. P. Spindel, A. Sevrin, W. Troost and A. Van Proeyen, 1988 Extended Supersymmetric σ-models on Group Manifolds. 1. The Complex Structures, Nucl. Phys. B 308 662
44. M. Roček, K. Schoutens and A. Sevrin, 1991 Off-shell WZW models in extended superspace, Phys. Lett. B 265 303
45. M. Roček, C.H. Ahn, K. Schoutens and A. Sevrin, Superspace WZW models and black holes, [hep-th/9110035]
46. A. Font, L.E. Ibáñez and F. Marchesano, 2006 Coisotropic D 8-branes and model-building, JHEP 09(2006)080 [hep-th/0607219]
47. M.T. Grisaru, M. Massar, A. Sevrin and J. Troost, 1997 The quantum geometry of N = (2,2) non-linear σ-models, Phys. Lett. B 412 53 [hep-th/9706218]
48. N. Halmagyi and A. Tomasiello, 2009 Generalized Kähler Potentials from Supergravity, Commun. Math. Phys. 291 1 [0708.1032]
49. A. Kapustin and Y. Li, Stability conditions for topological D-branes: A worldsheet approach, [hep-th/0311101]
50. I. Vaisman, 1994 Lectures on the Geometry of Poisson Manifolds, Birkhäuser Verlag, Basel
51. B. Craps, O. Evnin and S. Nakamura, 2007 Local recoil of extended solitons: A string theory example, JHEP 01(2007)050 [hep-th/0608123]
52. I. Brunner, M.R. Gaberdiel, S. Hohenegger and C.A. Keller, Obstructions and lines of marginal stability from the world-sheet, [0902.3177]