Dualisation of dualities II: Twisted self-duality of doubled fields and superdualities

Nuclear Physics B

Volumn 535, Issue 1-2, 1998, Pages 242-292

  Cremmer, E ^a   Julia, B ^a   Lu H ^a   Pope, C N ^b  

^a Lab de Phys Theor de l'Ecl NS   (France)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032494943     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00552-5     Document Type: Article

References (36)

1. [1] E. Cremmer and B. Julia, The N = 8 supergravity theory-I-The Lagrangian, Phys. Lett. B 80 (1978) 48; The SO(8) supergravity, Nucl. Phys. B 156 (1979) 141.
2. [1] E. Cremmer and B. Julia, The N = 8 supergravity theory-I-The Lagrangian, Phys. Lett. B 80 (1978) 48; The SO(8) supergravity, Nucl. Phys. B 156 (1979) 141.
3. [2] B. Julia, Group disintegrations; E. Cremmer, Supergravities in 5 dimensions, in Superspace and Supergravity, ed. S.W. Hawking and M. Rocek (Cambridge Univ. Press, 1981) pp. 331; 267.
4. [2] B. Julia, Group disintegrations; E. Cremmer, Supergravities in 5 dimensions, in Superspace and Supergravity, ed. S.W. Hawking and M. Rocek (Cambridge Univ. Press, 1981) pp. 331; 267.
5. [3] C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 294 (1995) 196, hep-th/9410167.
6. [4] E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85, hep-th/9503124.
7. [5] H. Lü and C.N. Pope, p-brane solitons in maximal supergravities, Nucl. Phys. B 465 (1996) 127, hep-th/9512012.
8. [6] E. Cremmer, B. Julia, H. Lü and C.N. Pope, Dualisation of dualities, hep-th/9710119 to appear in Nucl. Phys. B 522 (1998).
9. [7] B. Julia and H. Nicolai, Conformai internal symmetry of 2d o-models coupled to gravity and a dilaton, Nucl. Phys. B 482 (1996) 431, hep-th/9608082.
10. [8] D. Bernard and B. Julia, Twisted self-duality of dimensionally reduced gravity and vertex operators, hep-th/9712254.
11. [9] H. Lü and C.N. Pope, T-duality and U-duality in toroidally compactified strings, Nucl. Phys. B 510 (1998) 139, hep-th/9701177.
12. [10] B. Julia, Dualities in the classical supergravity limits, hep-th/9805083.
13. [11] R. D'Auria and P. Fré, Cartan integrable systems, that is differential free algebras, in Supergravity. in Proc. of the 1982 Trieste Summer School, ed. S. Ferrara et al. (World Scientific, Singapore, 1983)
14. [12] D. Sullivan, Infinitesimal computations in topology, in Publications Math. de l'IHES, 47 (1977) 269.
15. [13] E. Cremmer, B. Julia and J. Scherk, Supergravity theory in eleven dimensions, Phys. Lett. B 76 (1978) 409.
16. [14] I. Bandos, N. Berkovits and D. Sorokin, Duality-symmetric eleven-dimensional supergravity and its coupling to M-branes, hep-th/9711055.
17. [15] B. Julia, Effective gauge fields, in Proc. of the 4th Johns Hopkins Workshop on Current problems in particle theory, Bonn (1980) ed. R. Casalbuoni et al.
18. [16] B. Julia and S. Silva, Currents and Superpotentials in classical gauge invariant theories hep-th/9804029.
19. [17] V. Kac, Infinite dimensional Lie algebras (Birkhaeuser, Basel, 1984).
20. [18] M. Scheunen, The theory of Lie superalgebras, LNM 716 (Springer, Berlin, 1979)
21. [19] M. Scheunert, Graded tensor calculus, J. Math. Phys. 24 (1983) 2658.
22. [20] E. Cremmer, I.V. Lavrinenko, H. Lü, C.N. Pope, K.S. Stelle and T.A. Tran, Euclidean-signature supergravities, dualities and instantons, hep-th/9803259.
23. [21] H. Lü, C.N. Pope and K.S. Stelle, Weyl group invariance and p-brane multiplets, Nucl. Phys. B 476 (1996) 89, hep-th/9602140.
24. [22] D.Z. Freedman and P.K. Townsend, Antisymmetric tensor gauge theories and non-linear sigma models, Nucl. Phys. B 177 (1981) 282.
25. [23] J. Thierry-Mieg, Nucl. Phys. B 335 (1990) 334.
26. [24] L. Andrianopoli, R. D'Auria, S. Ferrara, P. Fre, R. Minasian and M. Trigiante, Solvable Lie algebras in type IIA, type IIB and M theories, Nucl. Phys. B 493 (1997) 249, hep-th/9612202.
27. [25] O. Alvarez, L.A. Ferreira and J. Sánchez Guillén, hep-th/9710147.
28. [26] J.H. Schwarz, Covariant field equations of chiral N = 2 D = 10 supergravity, Nucl. Phys. B 226 (1983) 269; See also J. Schwarz and P. West, Symmetries and transformations of chiral N = 2 D = 10 supergravity, Phys. Lett. 126B (1983) 301; P. Howe and P. West, The complete N = 2 D = 10 supergravity, Nucl. Phys. B 238 (1984) 181.
29. [26] J.H. Schwarz, Covariant field equations of chiral N = 2 D = 10 supergravity, Nucl. Phys. B 226 (1983) 269; See also J. Schwarz and P. West, Symmetries and transformations of chiral N = 2 D = 10 supergravity, Phys. Lett. 126B (1983) 301; P. Howe and P. West, The complete N = 2 D = 10 supergravity, Nucl. Phys. B 238 (1984) 181.
30. [26] J.H. Schwarz, Covariant field equations of chiral N = 2 D = 10 supergravity, Nucl. Phys. B 226 (1983) 269; See also J. Schwarz and P. West, Symmetries and transformations of chiral N = 2 D = 10 supergravity, Phys. Lett. 126B (1983) 301; P. Howe and P. West, The complete N = 2 D = 10 supergravity, Nucl. Phys. B 238 (1984) 181.
31. [27] E. Cremmer, H. Lü, C.N. Pope, K.S. Stelle. Spectrum-generating symmetries for BPS solitons, hep-th/9707207, to appear in Nucl. Phys. B.
32. [28] E. Bergshoeff, C.M. Hull and T. Ortin, Duality in the type II superstring effective action, Nucl. Phys. B 451 (1995) 547, hep-th/9504081.
33. [29] B.K. Harrison, J. Math. Phys. 9 (1968) 1744; W. Kinnersley, J. Math. Phys. 14 (1973) 651.
34. [29] B.K. Harrison, J. Math. Phys. 9 (1968) 1744; W. Kinnersley, J. Math. Phys. 14 (1973) 651.
35. [30] P. Breitenlohner, D. Maison and G. Gibbons, Com. Math. Phys. 120 (1988) 295.
36. [31] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley, New York, 1969).