Effective descriptions of branes on non-geometric tori

Journal of High Energy Physics

Volumn 2006, Issue 12, 2006, Pages

  Ellwood, Ian ^a   Hashimoto, Akikazu ^a  

^a University of Wisconsin ^*  (United States)

Author keywords

Flux compactifications; Non Commutative Geometry

Indexed keywords

EID: 33846240864     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/12/025     Document Type: Review

References (63)

1. S. Hellerman, J. McGreevy and B. Williams, Geometric constructions of nongeometric string theories 2004 J. High Energy Phys. JHEP01(2004)024 [hep-th/0208174]
2. A. Dabholkar and C. Hull, Duality twists, orbifolds and fluxes 2003 J. High Energy Phys. JHEP09(2003)054 [hep-th/0210209]
3. S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications 2003 J. High Energy Phys. JHEP03(2003)061 [hep-th/0211182]
4. J. Scherk and J.H. Schwarz, How to get masses from extra dimensions 1979 Nucl. Phys. B 153 61
5. T.H. Buscher, Path integral derivation of quantum duality in nonlinear sigma models 1988 Phys. Lett. B 201 466
6. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory 1994 Phys. Rep. 244 77 [hep-th/9401139]
7. J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications 2005 J. High Energy Phys. JHEP10(2005)085 [hep-th/0508133]
8. T. Damour, M. Henneaux and H. Nicolai, Cosmological billiards 2003 Class. Quantum Grav. 20 R145 [hep-th/0212256]
9. 10: billiards, branes and imaginary roots, 2004 J. High Energy Phys. JHEP08(2004)063 [hep-th/0401053]
10. A. Lawrence, M.B. Schulz and B. Wecht, D-branes in nongeometric backgrounds 2006 J. High Energy Phys. JHEP07(2006)038 [hep-th/0602025]
11. F. Marchesano, D6-branes and torsion 2006 J. High Energy Phys. JHEP05(2006)019 [hep-th/0603210]
12. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
13. A. Hashimoto and S. Sethi, Holography and string dynamics in time-dependent backgrounds 2002 Phys. Rev. Lett. 89 261601 [hep-th/0208126]
14. L. Dolan and C.R. Nappi, Noncommutativity in a time-dependent background 2003 Phys. Lett. B 551 369 [hep-th/0210030]
15. A. Hashimoto and K. Thomas, Dualities, twists and gauge theories with non-constant non-commutativity 2005 J. High Energy Phys. JHEP01(2005)033 [hep-th/0410123]
16. A. Hashimoto and K. Thomas, Non-commutative gauge theory on D-branes in melvin universes 2006 J. High Energy Phys. JHEP01(2006)083 [hep-th/0511197]
17. A. Hashimoto and N. Itzhaki, On the hierarchy between non-commutative and ordinary supersymmetric Yang-Mills 1999 J. High Energy Phys. JHEP12(1999)007 [hep-th/9911057]
18. V. Mathai and J.M. Rosenberg, T-duality for torus bundles via noncommutative topology 2004 Comm. Math. Phys. 253 705 [hep-th/0401168]
19. V. Mathai and J.M. Rosenberg, On mysteriously missing T-duals, H-flux and the T-duality group [hep-th/0409073]
20. V. Mathai and J. Rosenberg, T-duality for torus bundles with H-fluxes via noncommutative topology. II: the high-dimensional case and the T-duality group 2006 Adv. Theor. Math. Phys. 10 123 [hep-th/0508084]
21. P. Bouwknegt, K. Hannabuss and V. Mathai, Nonassociative tori and applications to T-duality 2006 Comm. Math. Phys. 264 41 [hep-th/0412092]
22. D.A. Lowe, H. Nastase and S. Ramgoolam, Massive IIA string theory and matrix theory compactification 2003 Nucl. Phys. B 667 55 [hep-th/0303173]
23. L. Dolan and C.R. Nappi, A scaling limit with many noncommutativity parameters 2001 Phys. Lett. B 504 329 [hep-th/0009225]
24. K. Dasgupta and Z. Yin, Non-abelian geometry 2003 Comm. Math. Phys. 235 313 [hep-th/0011034]
25. D. Dhokrah, A. Hashimoto, and S. Haque, work in progress.
26. J. Polchinski and E. Witten, Evidence for heterotic - Type-I string duality 1996 Nucl. Phys. B 460 525 [hep-th/9510169]
27. N. Seiberg, Five dimensional SUSY field theories, non-trivial fixed points and string dynamics 1996 Phys. Lett. B 388 753 [hep-th/9608111]
28. M.R. Douglas, S.H. Katz and C. Vafa, Small instantons, del pezzo surfaces and type-I' theory 1997 Nucl. Phys. B 497 155 [hep-th/9609071]
29. D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories 1997 Nucl. Phys. B 483 229 [hep-th/9609070]
30. O. Aharony, A. Fayyazuddin and J.M. Maldacena, The large-N limit of N = 2,1 field theories from three- branes in F-theory 1998 J. High Energy Phys. JHEP07(1998)013 [hep-th/9806159]
31. 8 instantons and tensionless non-critical strings 1996 Nucl. Phys. B 474 122 [hep-th/9602120]
32. I.W. Taylor, D-brane field theory on compact spaces 1997 Phys. Lett. B 394 283 [hep-th/9611042]
33. O.J. Ganor, S. Ramgoolam and I.W. Taylor, Branes, fluxes and duality in M(atrix)-theory 1997 Nucl. Phys. B 492 191 [hep-th/9611202]
34. A. Connes, M.R. Douglas and A.S. Schwarz, Noncommutative geometry and matrix theory: compactification on tori 1998 J. High Energy Phys. JHEP02(1998)003 [hep-th/9711162]
35. M.R. Douglas and C.M. Hull, D-branes and the noncommutative torus 1998 J. High Energy Phys. JHEP02(1998)008 [hep-th/9711165]
36. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field 1998 Nucl. Phys. B 528 185 [hep-th/9803031]
37. A. Hanany and A. Zaffaroni, Branes and six dimensional supersymmetric theories 1998 Nucl. Phys. B 529 180 [hep-th/9712145]
38. J. Shelton, W. Taylor and B. Wecht, Generalized flux vacua [hep-th/0607015]
39. R. Jackiw, 3-cocycle in mathematics and physics 1985 Phys. Rev. Lett. 54 159
40. P.-M. Ho and Y. Matsuo, Work in progress. Private communication.
41. M. Herbst, A. Kling and M. Kreuzer, Cyclicity of non-associative products on D-branes 2004 J. High Energy Phys. JHEP03(2004)003 [hep-th/0312043]
42. P.-M. Ho, Making non-associative algebra associative 2001 J. High Energy Phys. JHEP11(2001)026 [hep-th/0103024]
43. L. Cornalba and R. Schiappa, Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds 2002 Comm. Math. Phys. 225 33 [hep-th/0101219]
44. M. Herbst, A. Kling and M. Kreuzer, Star products from open strings in curved backgrounds 2001 J. High Energy Phys. JHEP09(2001)014 [hep-th/0106159]
45. O. Pelc, On the quantization constraints for a D3 brane in the geometry of NS5 branes 2000 J. High Energy Phys. JHEP08(2000)030 [hep-th/0007100]
46. A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics 1997 Nucl. Phys. B 492 152 [hep-th/9611230]
47. E. Witten, Baryons and branes in anti de Sitter space 1998 J. High Energy Phys. JHEP07(1998)006 [hep-th/9805112]
48. M. Rasetti and T. Regge, Vortices in He II, current algebras and quantum knots, 1975 Physica A 80 217
49. F. Lund and T. Regge, Unified approach to strings and vortices with soliton solutions 1976 Phys. Rev. D 14 1524
50. E. Bergshoeff, D.S. Berman, J.P. van der Schaar and P. Sundell, A noncommutative M-theory five-brane 2000 Nucl. Phys. B 590 173 [hep-th/0005026]
51. Y. Matsuo and Y. Shibusa, Volume preserving diffeomorphism and noncommutative branes 2001 J. High Energy Phys. JHEP02(2001)006 [hep-th/0010040]
52. B. Pioline, Comments on the topological open membrane 2002 Phys. Rev. D 66 025010 [hep-th/0201257]
53. D.S. Berman and B. Pioline, Open membranes, ribbons and deformed schild strings 2004 Phys. Rev. D 70 045007 [hep-th/0404049]
54. C. Klimcík and T. Strobl, WZW-poisson manifolds 2002 J. Geom. Phys. 43 341 [math.SG/0104189]
55. N. Ikeda, Two-dimensional gravity and nonlinear gauge theory 1994 Ann. Phys. (NY) 235 435 [hep-th/9312059]
56. P. Schaller and T. Strobl, Poisson structure induced (topological) field theories 1994 Mod. Phys. Lett. A 9 3129 [hep-th/9405110]
57. A.S. Cattaneo and G. Felder, A path integral approach to the Kontsevich quantization formula 2000 Comm. Math. Phys. 212 591 [math.QA/9902090]
58. M. Kontsevich, Deformation quantization of poisson manifolds, I 2003 Lett. Math. Phys. 66 157 [q-alg/9709040]
59. J.-S. Park, Topological open p-branes [hep-th/0012141]
60. C. Hofman and J.-S. Park, Topological open membranes [hep-th/0209148]
61. C. Hofman and J.-S. Park, BV quantization of topological open membranes 2004 Comm. Math. Phys. 249 249 [hep-th/0209214]
62. P. Bouwknegt, K. Hannabuss and V. Mathai, T-duality for principal torus bundles 2004 J. High Energy Phys. JHEP03(2004)018 [hep-th/0312284]
63. L. Baulieu, A.S. Losev and N.A. Nekrasov, Target space symmetries in topological theories. I 2002 J. High Energy Phys. JHEP02(2002)021 [hep-th/0106042]