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Volumn , Issue 3, 2005, Pages 485-517

Generalized complex geometry, generalized branes and the Hitchin sigma model

Author keywords

BRST Symmetry; Differential and Algebraic Geometry; Sigma Models; Topological Field Theories

Indexed keywords


EID: 27344450042     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/03/022     Document Type: Article
Times cited : (33)

References (55)
  • 1
    • 0035534429 scopus 로고    scopus 로고
    • Superstrings and topological strings at large-N
    • [hep-th/0008142]
    • C. Vafa, Superstrings and topological strings at large-N, J. Math. Phys. 42 (2001) 2798 [hep-th/0008142].
    • (2001) J. Math. Phys. , vol.42 , pp. 2798
    • Vafa, C.1
  • 2
    • 2542544042 scopus 로고    scopus 로고
    • New supersymmetric string compactifications
    • [hep-th/0211182]
    • S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, JHEP 03 (2003) 061 [hep-th/0211182].
    • (2003) JHEP , vol.3 , pp. 061
    • Kachru, S.1    Schulz, M.B.2    Tripathy, P.K.3    Trivedi, S.P.4
  • 3
    • 0037463711 scopus 로고    scopus 로고
    • Mirror symmetry in generalized Calabi-Yau compactifications
    • [hep-th/0211102]
    • 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].
    • (2003) Nucl. Phys. B , vol.654 , pp. 61
    • Gurrieri, S.1    Louis, J.2    Micu, A.3    Waldram, D.4
  • 4
    • 13244284738 scopus 로고    scopus 로고
    • Mirror symmetric SU(3)-structure manifolds with ns fluxes
    • [hep-th/0311122]
    • S. Fidanza, R. Minasian and A. Tomasiello, Mirror symmetric SU(3)-structure manifolds with ns fluxes, Commun. Math. Phys. 254 (2006) 401 [hep-th/0311122].
    • (2005) Commun. Math. Phys. , vol.254 , pp. 401
    • Fidanza, S.1    Minasian, R.2    Tomasiello, A.3
  • 5
    • 23044510835 scopus 로고    scopus 로고
    • Supersymmetric backgrounds from generalized Calabi-Yau manifolds
    • [hep-th/0406137]
    • M. Grana, R. Minasian, M. Petrini and A. Tomasiello, Supersymmetric backgrounds from generalized Calabi-Yau manifolds, JHEP 08 (2004) 046 [hep-th/0406137].
    • (2004) JHEP , vol.8 , pp. 046
    • Grana, M.1    Minasian, R.2    Petrini, M.3    Tomasiello, A.4
  • 6
    • 0142058292 scopus 로고    scopus 로고
    • Generalized Calabi Yau manifolds
    • [math.dg/0209099]
    • N. Hitchin, Generalized Calabi Yau manifolds, Q. J. Math. 64 no. 3 (2003) 281, [math.dg/0209099]
    • (2003) Q. J. Math. , vol.64 , Issue.3 , pp. 281
    • Hitchin, N.1
  • 8
    • 1542511960 scopus 로고
    • Topological sigma models
    • E. Witten, Topological sigma models, Commun. Math. Phys. 118 (1988) 411.
    • (1988) Commun. Math. Phys. , vol.118 , pp. 411
    • Witten, E.1
  • 9
    • 0002235677 scopus 로고
    • Mirror manifolds and topological field theory
    • S.T. Yau ed., International Press, Hong Kong [hep-th/9112056]
    • 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].
    • (1992) Essays on Mirror Manifolds , pp. 120
    • Witten, E.1
  • 10
    • 13244294486 scopus 로고    scopus 로고
    • Topological strings on noncommutative manifolds
    • [hep-th/0310057]
    • A. Kapustin, Topological strings on noncommutative manifolds, Int. J. Geom. Meth. Mod. Phys. 1 (2004) 49 [hep-th/0310057].
    • (2004) Int. J. Geom. Meth. Mod. Phys. , vol.1 , pp. 49
    • Kapustin, A.1
  • 15
    • 27344437901 scopus 로고    scopus 로고
    • Isotropic A-branes and the stability condition
    • [hep-th/0412181]
    • S. Chiantese, Isotropic A-branes and the stability condition JHEP 02 (2005) 003 [hep-th/0412181].
    • (2005) JHEP , vol.2 , pp. 003
    • Chiantese, S.1
  • 17
    • 0035402802 scopus 로고    scopus 로고
    • D-branes, categories and N = 1 supersymmetry
    • [hep-th/0011017]
    • M.R. Douglas, D-branes, categories and N = 1 supersymmetry, J. Math. Phys. 42 (2001) 2818 [hep-th/0011017].
    • (2001) J. Math. Phys. , vol.42 , pp. 2818
    • Douglas, M.R.1
  • 18
    • 33745054164 scopus 로고    scopus 로고
    • Derived categories and zero-brane stability
    • [hep-th/0104147]
    • P.S. Aspinwall and A.E. Lawrence, Derived categories and zero-brane stability, JHEP 08 (2001) 004 [hep-th/0104147].
    • (2001) JHEP , vol.8 , pp. 004
    • Aspinwall, P.S.1    Lawrence, A.E.2
  • 19
    • 0001753344 scopus 로고
    • Chern-Simons gauge theory as a string theory
    • [hep-th/9207094]
    • E. Witten, Chern-Simons gauge theory as a string theory, Prog. Math. 133 (1995) 637 [hep-th/9207094].
    • (1995) Prog. Math. , vol.133 , pp. 637
    • Witten, E.1
  • 20
    • 23044457961 scopus 로고    scopus 로고
    • Mirror symmetry
    • American Mathematical Society
    • K. Hori, Mirror symmetry, Clay Mathematics Monographs 1, American Mathematical Society, 2003.
    • (2003) Clay Mathematics Monographs , vol.1
    • Hori, K.1
  • 21
    • 16144366365 scopus 로고    scopus 로고
    • D-branes on Calabi-Yau spaces and their mirrors
    • [hep-th/9606112]
    • H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112].
    • (1996) Nucl. Phys. B , vol.477 , pp. 407
    • Ooguri, H.1    Oz, Y.2    Yin, Z.3
  • 22
    • 0041426659 scopus 로고    scopus 로고
    • Remarks on a-branes, mirror symmetry and the fukaya category
    • [hep-th/0109098]
    • A. Kapustin and D. Orlov, Remarks on a-branes, mirror symmetry and the fukaya category, J. Geom. Phys. 48 (2003) 23 [hep-th/0109098].
    • (2003) J. Geom. Phys. , vol.48 , pp. 23
    • Kapustin, A.1    Orlov, D.2
  • 23
    • 15544379450 scopus 로고    scopus 로고
    • Geometry of D-branes for general N = (2,2) sigma models
    • [hep-th/0405240]
    • M. Zabzine, Geometry of D-branes for general N = (2,2) sigma models, Lett. Math. Phys. 70 (2004) 211 [hep-th/0405240].
    • (2004) Lett. Math. Phys. , vol.70 , pp. 211
    • Zabzine, M.1
  • 24
    • 1842861638 scopus 로고    scopus 로고
    • Generalized N = (2, 2) supersymmetric non-linear sigma models
    • [hep-th/0401100]
    • U. Lindström, Generalized N = (2, 2) supersymmetric non-linear sigma models, Phys. Lett. B 587 (2004) 216 [hep-th/0401100].
    • (2004) Phys. Lett. B , vol.587 , pp. 216
    • Lindström, U.1
  • 31
    • 23044438292 scopus 로고    scopus 로고
    • A sigma model field theoretic realization of Hitchin's generalized complex geometry
    • [hep-th/0409181]
    • R. Zucchini, A sigma model field theoretic realization of Hitchin's generalized complex geometry, JHEP 11 (2004) 045 [hep-th/0409181].
    • (2004) JHEP , vol.11 , pp. 045
    • Zucchini, R.1
  • 33
    • 0000124884 scopus 로고
    • Two-dimensional gravity and nonlinear gauge theory
    • [hep-th/9312059]
    • N. Ikeda, Two-dimensional gravity and nonlinear gauge theory, Ann. Phys. (NY) 235 (1994) 436 [hep-th/9312059].
    • (1994) Ann. Phys. (NY) , vol.235 , pp. 435
    • Ikeda, N.1
  • 34
    • 0003085097 scopus 로고
    • Poisson structure induced (topological) field theories
    • [hep-th/9405110]
    • P. Schaller and T. Strobl, Poisson structure induced (topological) field theories, Mod. Phys. Lett. A 9 (1994) 3129 [hep-th/9405110].
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 3129
    • Schaller, P.1    Strobl, T.2
  • 35
    • 0034349089 scopus 로고    scopus 로고
    • A path integral approach to the Kontsevich quantization formula
    • [math.qa/9902090]
    • A.S. Cattaneo and G. Felder, A path integral approach to the Kontsevich quantization formula, Commun. Math. Phys. 212 (2000) 591 [math.qa/9902090].
    • (2000) Commun. Math. Phys. , vol.212 , pp. 591
    • Cattaneo, A.S.1    Felder, G.2
  • 37
    • 30244485015 scopus 로고
    • Quantization of gauge theories with linearly dependent generators
    • I.A. Batalin and G.A. Vilkovisky, Quantization of gauge theories with linearly dependent generators, Phys. Rev. D 28 (1983) 2667.
    • (1983) Phys. Rev. D , vol.28 , pp. 2567
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 38
    • 0001692169 scopus 로고    scopus 로고
    • On the AKSZ formulation of the poisson sigma model
    • [math.qa/0102108]
    • A.S. Cattaneo and G. Felder, On the AKSZ formulation of the poisson sigma model, Lett. Math. Phys. 56 (2001) 163 [math.qa/0102108].
    • (2001) Lett. Math. Phys. , vol.56 , pp. 163
    • Cattaneo, A.S.1    Felder, G.2
  • 39
    • 22344441484 scopus 로고    scopus 로고
    • Coisotropic submanifolds in Poisson geometry and branes in the poisson sigma model
    • [math.qa/0309180]
    • A.S. Cattaneo and G. Felder, Coisotropic submanifolds in Poisson geometry and branes in the poisson sigma model, Lett. Math. Phys. 69 (2004) 167 [math.qa/0309180].
    • (2004) Lett. Math. Phys. , vol.69 , pp. 167
    • Cattaneo, A.S.1    Felder, G.2
  • 40
  • 43
    • 33744746094 scopus 로고
    • Twisted multiplets and new supersymmetric nonlinear sigma modelt
    • J. Gates, S. J., C.M. Hull and M. Roček, Twisted multiplets and new supersymmetric nonlinear sigma modelt, Nucl. Phys. B 248 (1984) 157.
    • (1984) Nucl. Phys. B , vol.248 , pp. 157
    • Gates, J.1    J., S.2    Hull, C.M.3    Roček, M.4
  • 45
    • 23044447043 scopus 로고    scopus 로고
    • Target space symmetries in topological theories, I
    • [hep-th/0106042]
    • L. Baulieu, A.S. Losev and N.A. Nekrasov, Target space symmetries in topological theories, I, JHEP 02 (2002) 021 [hep-th/0106042].
    • (2002) JHEP , vol.2 , pp. 021
    • Baulieu, L.1    Losev, A.S.2    Nekrasov, N.A.3
  • 46
    • 0141648482 scopus 로고    scopus 로고
    • Target space equivariant cohomological structure of the Poisson sigma model
    • [math-ph/0205006]
    • R. Zucchini, Target space equivariant cohomological structure of the Poisson sigma model, J. Geom. Phys. 48 (2003) 219 [math-ph/0205006].
    • (2003) J. Geom. Phys. , vol.48 , pp. 219
    • Zucchini, R.1
  • 47
    • 11944262380 scopus 로고    scopus 로고
    • The background field method and the linearization problem for Poisson manifolds
    • [hep-th/0403265]
    • P.A. Grassi and A. Quadri, The background field method and the linearization problem for Poisson manifolds, Nucl. Phys. B 706 (2005) 649 [hep-th/0403265].
    • (2005) Nucl. Phys. B , vol.706 , pp. 649
    • Grassi, P.A.1    Quadri, A.2
  • 48
    • 0036792053 scopus 로고    scopus 로고
    • WZW-poisson manifolds
    • [math.sg/0104189]
    • C. Klimčík and T. Strobl, WZW-poisson manifolds, J. Geom. Phys. 43 (2002) 341 [math.sg/0104189].
    • (2002) J. Geom. Phys. , vol.43 , pp. 341
    • Klimčík, C.1    Strobl, T.2
  • 49
    • 0007458454 scopus 로고
    • Multiplication of differential characters
    • Convegno Geometrico INDAM, Roma maggio 1972, Academic Press
    • J. Cheeger, Multiplication of differential characters, Convegno Geometrico INDAM, Roma maggio 1972, in Symposia Mathematica XI, Academic Press, 1973, p. 441.
    • (1973) Symposia Mathematica , vol.11 , pp. 441
    • Cheeger, J.1
  • 51
    • 0004034109 scopus 로고
    • reprinted in, Springer Verlag
    • reprinted in Lecture Notes in Math. 1167, Springer Verlag, 1985, p. 50.
    • (1985) Lecture Notes in Math. , vol.1167 , pp. 50
  • 52
    • 0037410301 scopus 로고    scopus 로고
    • Relative topological integrals and relative Cheeger-simons differential characters
    • [hep-th/0010110]
    • R. Zucchini, Relative topological integrals and relative Cheeger-Simons differential characters, J. Geom. Phys. 46 (2003) 355 [hep-th/0010110].
    • (2003) J. Geom. Phys. , vol.46 , pp. 355
    • Zucchini, R.1
  • 53
    • 0000782811 scopus 로고    scopus 로고
    • The geometry of the master equation and topological quantum field theory
    • [hep-th/9502010]
    • M. Alexandrov, M. Kontsevich, A. Schwartz and O. Zaboronsky, The geometry of the master equation and topological quantum field theory, Int. J. Mod. Phys. A 12 (1997) 1405 [hep-th/9502010].
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 1405
    • Alexandrov, M.1    Kontsevich, M.2    Schwartz, A.3    Zaboronsky, O.4
  • 54
    • 15544371120 scopus 로고    scopus 로고
    • Poisson reduction and branes in Poisson-sigma modelts
    • [hep-th/0405176]
    • I. Calvo and F. Falceto, Poisson reduction and branes in Poisson-sigma modelts, Lett. Math. Phys. 70 (2005) 231 [hep-th/0405176].
    • (2005) Lett. Math. Phys. , vol.70 , pp. 231
    • Calvo, I.1    Falceto, F.2


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