A sigma model field theoretic realization of Hitchin's generalized complex geometry

Journal of High Energy Physics

Volumn 8, Issue 11, 2004, Pages 1205-1225

  Zucchini, Roberto ^a,b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b INFN SEZIONE DI BOLOGNA   (Italy)

Author keywords

BRST Symmetry; Differential and Algebraic Geometry; Sigma Models; Superspaces

Indexed keywords

EID: 23044438292     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/11/045     Document Type: Article

References (28)

1. C. Vafa, Superstrings and topological strings at large-N, J. Math. Phys. 42 (2001) 2798 [hep-th/0008142].
2. S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, J. High Energy Phys. 03 (2003) 061 [hep-th/0211182].
3. S. Gurrieri, J. Louis, A. Micu and D. Waldram, Mirror symmetry in generalized Calabi-Yau compactifications, Nucl. Phys. B 654 (2003) 61 [hep-th/0211102].
4. N. Hitchin, Generalized Calabi Yau manifolds, Q. J. Math. 54 no. 3 (2003) 281 [math.DG/0209099].
5. M. Gualtieri, Generalized complex geometry, Oxford University doctoral thesis, math.dg/0401221.
6. E. Witten, Mirror manifolds and topological field theory, in Essays on mirror manifolds, S.T. Yau ed., International Press, Hong Kong 1992 p. 120 [hep-th/9112056].
7. A. Kapustin, Topological strings on noncommutative manifolds, Int. J. Geom. Meth. Mod. Phys. 1 (2004) 49-81 [hep-th/0310057].
8. S. Fidanza, R. Minasian and A. Tomasiello, Mirror symmetric SU(3)-structure manifolds with NS fluxes, hep-th/0311122.
9. M. Grana, R. Minasian, M. Petrini and A. Tomasiello, Supersymmetric backgrounds from generalized Calabi-Yau manifolds, J. High Energy Phys. 08 (2004) 046 [hep-th/0406137].
10. O. Ben-Bassat, Mirror symmetry and generalized complex manifolds, math.AG/0405303.
11. M. Zabzine, Geometry of D-branes for general N = (2,2) sigma models, hep-th/0405240.
12. C. Jeschek, Generalized Calabi-Yau structures and mirror symmetry, hep-th/0406046.
13. A. Kapustin and Y. Li, Topological sigma-models with h-flux and twisted generalized complex manifolds, hep-th/0407249.
14. S. Chiantese, F. Gmeiner and C. Jeschek, Mirror symmetry for topological sigma models with generalized kaehler geometry, hep-th/0408169.
15. U. Lindström, Generalized N = (2,2) supersymmetric non-linear sigma models, Phys. Lett. B 587 (2004) 216 [hep-th/0401100].
16. U. Lindström, R. Minasian, A. Tomasiello and M. Zabzine, Generalized complex manifolds and super symmetry, hep-th/0405085.
17. N. Ikeda, Two-dimensional gravity and nonlinear gauge theory, Ann. Phys. (NY) 235 (1994) 435 [hep-th/9312059].
18. P. Schaller and T. Strobl, Poisson structure induced (topological) field theories, Mod. Phys. Lett. A 9 (1994) 3129 [hep-th/9405110].
19. A.S. Cattaneo and G. Felder, A path integral approach to the Kontsevich quantization formula, Commun. Math. Phys. 212 (2000) 591 [math.qa/9902090].
20. L. Baulieu, A.S. Losev and N.A. Nekrasov, Target space symmetries in topological theories, I, J. High Energy Phys. 02 (2002) 021 [hep-th/0106042].
21. I.A. Batalin and G.A. Vilkovisky, Gauge algebra and quantization, Phys. Lett. B 102 (1981) 27.
22. I.A. Batalin and G.A. Vilkovisky, Quantization of gauge theories with linearly dependent generators, Phys. Rev. D 28 (1983) 2567, erratum ibid. D30 (1984) 508.
23. J. Gomis, J. Paris and S. Samuel, Antibracket, antifields and gauge theory quantization, Phys. Rept. 259 (1995) 1 [hep-th/9412228].
24. T. Courant, Dirac manifolds, Trans. Amer. Math. Soc. 319 no. 2 (1990) 631.
25. T. Courant and A. Weinstein, Beyond Poisson structures, in Action hamiltoniennes des groupes, troisième théorème de Lie, Lyon 1986, Travaux en Cours 27, Hermann, Paris 1988.
26. R. Zucchini, Target space equivariant cohomological structure of the poisson sigma model, J. Geom. Phys. 48 (2003) 219 [math-ph/0205006].
27. I. Vaisman, Lectures on the geometry of Poisson manifolds, Progress in Mathematics, vol. 118, Birkhäuser Verlag, Basel 1994.
28. C. Klimčík and T. Strobl, WZW-poisson manifolds, J. Geom. Phys. 43 (2002) 341 [math.sg/0104189].