SL(5) duality from canonical M2-brane

Journal of High Energy Physics

Volumn 2012, Issue 11, 2012, Pages

  Hatsuda, MacHiko ^a,b   Kamimura, Kiyoshi ^c  

^a JUNTENDO UNIVERSITY   (Japan)

^b HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

^c TOHO UNIVERSITY   (Japan)

Author keywords

M Theory; P branes; String Duality

Indexed keywords

EID: 84869069292     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2012)001     Document Type: Article

References (58)

1. N. Hitchin, Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 (2003) 281 [math/0209099] [INSPIRE].
2. M. Gualtieri, Generalized complex geometry, math/0401221 [INSPIRE].
3. C. Hull, Generalised geometry for M-theory, JHEP 07 (2007) 079 [hep-th/0701203] [INSPIRE].
4. W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev. D 47 (1993) 5453 [hep-th/9302036] [INSPIRE].
5. W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].
6. W. Siegel, Manifest duality in low-energy superstrings, hep-th/9308133 [INSPIRE].
7. A.A. Tseytlin, Duality symmetric formulation of string world sheet dynamics, Phys. Lett. B 242 (1990) 163 [INSPIRE].
8. C. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [INSPIRE].
9. C. Hull and R. Reid-Edwards, Flux compactifications of string theory on twisted tori, Fortsch. Phys. 57 (2009) 862 [hep-th/0503114] [INSPIRE].
10. C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
11. C. Hull and B. Zwiebach, The gauge algebra of double field theory and Courant brackets, JHEP 09 (2009) 090 [arXiv:0908.1792] [INSPIRE].
12. G. Bonelli and M. Zabzine, From current algebras for p-branes to topological M-theory, JHEP 09 (2005) 015 [hep-th/0507051] [INSPIRE].
13. J. Ekstrand and M. Zabzine, Courant-like brackets and loop spaces, JHEP 03 (2011) 074 [arXiv:0903.3215] [INSPIRE].
14. P.P. Pacheco and D. Waldram, M-theory, exceptional generalised geometry and superpotentials, JHEP 09 (2008) 123 [arXiv:0804.1362] [INSPIRE].
15. M. Graña, J. Louis, A. Sim and D. Waldram, E7(7) formulation of N = 2 backgrounds, JHEP 07 (2009) 104 [arXiv:0904.2333] [INSPIRE].
16. A. Coimbra, C. Strickland-Constable and D. Waldram, Supergravity as generalised geometry I: type II theories, JHEP 11 (2011) 091 [arXiv:1107.1733] [INSPIRE].
17. A. Coimbra, C. Strickland-Constable and D. Waldram, Ed(d) × R+ generalised geometry, connections and M-theory, arXiv:1112.3989 [INSPIRE].
18. A. Coimbra, C. Strickland-Constable and D. Waldram, Generalised geometry and type-II supergravity, Fortsch. Phys. 60 (2012) 982 [arXiv:1202.3170] [INSPIRE].
19. M. Graña and D. Marques, Gauged double field theory, JHEP 04 (2012) 020 [arXiv:1201.2924] [INSPIRE].
20. O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [INSPIRE].
21. O. Hohm, C. Hull and B. Zwiebach, Generalized metric formulation of double field theory, JHEP 08 (2010) 008 [arXiv:1006.4823] [INSPIRE].
22. B. Zwiebach, Double field theory, T-duality and Courant brackets, Lect. Notes Phys. 851 (2012) 265 [arXiv:1109.1782] [INSPIRE].
23. O. Hohm and S.K. Kwak, Frame-like geometry of double field theory, J. Phys. A 44 (2011) 085404 [arXiv:1011.4101] [INSPIRE].
24. O. Hohm and B. Zwiebach, On the Riemann tensor in double field theory, JHEP 05 (2012) 126 [arXiv:1112.5296] [INSPIRE].
25. O. Hohm and B. Zwiebach, Large gauge transformations in double field theory, arXiv:1207.4198 [INSPIRE].
26. D.S. Berman and M.J. Perry, Generalized geometry and M-theory, JHEP 06 (2011) 074 [arXiv:1008.1763] [INSPIRE].
27. D.S. Berman, H. Godazgar and M.J. Perry, SO(5, 5) duality in M-theory and generalized geometry, Phys. Lett. B 700 (2011) 65 [arXiv:1103.5733] [INSPIRE].
28. D.S. Berman, H. Godazgar, M. Godazgar and M.J. Perry, The local symmetries of M-theory and their formulation in generalised geometry, JHEP 01 (2012) 012 [arXiv:1110.3930] [INSPIRE].
29. D.S. Berman, H. Godazgar, M.J. Perry and P. West, Duality invariant actions and generalised geometry, JHEP 02 (2012) 108 [arXiv:1111.0459] [INSPIRE].
30. I. Jeon, K. Lee and J.-H. Park, Stringy differential geometry, beyond Riemann, Phys. Rev. D 84 (2011) 044022 [arXiv:1105.6294] [INSPIRE].
31. I. Jeon, K. Lee and J.-H. Park, Incorporation of fermions into double field theory, JHEP 11 (2011) 025 [arXiv:1109.2035] [INSPIRE].
32. I. Jeon, K. Lee and J.-H. Park, Supersymmetric double field theory: stringy reformulation of supergravity, Phys. Rev. D 85 (2012) 081501 [arXiv:1112.0069] [INSPIRE].
33. I. Jeon, K. Lee and J.-H. Park, Ramond-Ramond cohomology and O(D,D) T-duality, JHEP 09 (2012) 079 [arXiv:1206.3478] [INSPIRE].
34. D.C. Thompson, Duality invariance: from M-theory to double field theory, JHEP 08 (2011) 125 [arXiv:1106.4036] [INSPIRE].
35. D. Andriot, M. Larfors, D. Lüst and P. Patalong, A ten-dimensional action for non-geometric fluxes, JHEP 09 (2011) 134 [arXiv:1106.4015] [INSPIRE].
36. O. Hohm and S.K. Kwak, N = 1 supersymmetric double field theory, JHEP 03 (2012) 080 [arXiv:1111.7293] [INSPIRE].
37. S. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [INSPIRE].
38. S. Hassan, SO(d, d) transformations of Ramond-Ramond fields and space-time spinors, Nucl. Phys. B 583 (2000) 431 [hep-th/9912236] [INSPIRE].
39. P. Koerber, Stable D-branes, calibrations and generalized Calabi-Yau geometry, JHEP 08 (2005) 099 [hep-th/0506154] [INSPIRE].
40. P. Koerber, Lectures on generalized complex geometry for physicists, Fortsch. Phys. 59 (2011) 169 [arXiv:1006.1536] [INSPIRE].
41. P. Koerber and L. Martucci, Deformations of calibrated D-branes in flux generalized complex manifolds, JHEP 12 (2006) 062 [hep-th/0610044] [INSPIRE].
42. C. Albertsson, T. Kimura and R.A. Reid-Edwards, D-branes and doubled geometry, JHEP 04 (2009) 113 [arXiv:0806.1783] [INSPIRE].
43. C. Albertsson, S.-H. Dai, P.-W. Kao and F.-L. Lin, Double field theory for double D-branes, JHEP 09 (2011) 025 [arXiv:1107.0876] [INSPIRE].
44. O. Hohm, S.K. Kwak and B. Zwiebach, Unification of type II strings and T-duality, Phys. Rev. Lett. 107 (2011) 171603 [arXiv:1106.5452] [INSPIRE].
45. O. Hohm, S.K. Kwak and B. Zwiebach, Double field theory of type II strings, JHEP 09 (2011) 013 [arXiv:1107.0008] [INSPIRE].
46. M. Hatsuda and T. Kimura, Canonical approach to Courant brackets for D-branes, JHEP 06 (2012) 034 [arXiv:1203.5499] [INSPIRE].
47. T. Kikuchi, T. Okada and Y. Sakatani, Rotating string in doubled geometry with generalized isometries, Phys. Rev. D 86 (2012) 046001 [arXiv:1205.5549] [INSPIRE].
48. T. Asakawa, S. Sasa and S. Watamura, D-branes in generalized geometry and Dirac-Born-Infeld action, JHEP 10 (2012) 064 [arXiv:1206.6964] [INSPIRE].
49. C. Hull and P. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [INSPIRE].
50. E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141 [INSPIRE].
51. M. Duff and J. Lu, Duality rotations in membrane theory, Nucl. Phys. B 347 (1990) 394 [INSPIRE].
52. M. Duff, Duality rotations in string theory, Nucl. Phys. B 335 (1990) 610 [INSPIRE].
53. M.K. Gaillard and B. Zumino, Duality rotations for interacting fields, Nucl. Phys. B 193 (1981) 221 [INSPIRE].
54. E. Sezgin and A. Salam, Maximal extended supergravity theory in seven-dimensions, Phys. Lett. B 118 (1982) 359 [INSPIRE].
55. Y. Tanii, Supergravity, SGC library 82, Saiensu-sha (2011).
56. Y. Tanii, N = 8 supergravity in six-dimensions, Phys. Lett. B 145 (1984) 197 [INSPIRE].
57. M. Hatsuda and K. Kamimura, Wess-Zumino actions for IIA D-branes and their supersymmetries, Nucl. Phys. B 535 (1998) 499 [hep-th/9804087] [INSPIRE].
58. M. Cederwall, M-branes on U-folds, arXiv:0712.4287 [INSPIRE].