Tits-Satake projections of homogeneous special geometries

Classical and Quantum Gravity

Volumn 24, Issue 1, 2007, Pages

  Fré, Pietro ^a   Gargiulo, Floriana ^b   Rosseel, Jan ^c   Rulik, Ksenya ^a   Trigiante, Mario ^b   Van Proeyen, Antoine ^c  

^a UNIVERSITY OF TURIN   (Italy)

^b POLITECNICO DI TORINO   (Italy)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847638014     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/1/003     Document Type: Article

References (53)

1. 10 and a 'small tension expansion' of M theory Phys. Rev. Lett. 89 221601 (Preprint hep-th/0207267)
2. Damour T, Henneaux M and Nicolai H 2003 Cosmological billiards Class. Quantum Grav. 20 R145-200 (Preprint hep-th/0212256)
3. Fré P, Gili V, Gargiulo F, Sorin A, Rulik K and Trigiante M 2004 Cosmological backgrounds of superstring theory and solvable algebras: oxidation and branes Nucl. Phys. B 685 3-64 (Preprint hep-th/0309237)
4. Cremmer E, Julia B, Lü H and Pope C N 1999 Higher-dimensional origin of D = 3 coset symmetries Preprint hep-th/9909099
5. Keurentjes A 2003 The group theory of oxidation Nucl. Phys. B 658 303-47 (Preprint hep-th/0210178)
6. de Wit B and Van Proeyen A 1992 Special geometry, cubic polynomials and homogeneous quaternionic spaces Commun. Math. Phys. 149 307-34 (Preprint hep-th/9112027)
7. Andrianopoli L, Ferrara S and Lledó M A 2004 No-scale D = 5 supergravity from Scherk-Schwarz reduction of D = 6 theories J. High Energy Phys. JHEP06(2004)018 (Preprint hep-th/0406018)
8. Günaydin M, Sierra G and Townsend P K 1984 The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras Nucl. Phys. B 242 244
9. de Wit B and Van Proeyen A 1992 Broken sigma model isometries in very special geometry Phys. Lett. B 293 94-9 (Preprint hep-th/9207091)
10. de Wit B and Van Proeyen A 1984 Potentials and symmetries of general gauged N = 2 supergravity-Yang-Mills models Nucl. Phys. B 245 89
11. Castellani L, D'Auria R and Ferrara S 1990 Special geometry without special coordinates Class. Quantum Grav. 7 1767-90
12. D'Auria R, Ferrara S and Frè P 1991 Special and quaternionic isometries: general couplings in N = 2 supergravity and the scalar potential Nucl. Phys. B 359 705-40
13. Bagger J and Witten E 1983 Matter couplings in N = 2 supergravity Nucl. Phys. B 222 1
14. Cecotti S, Ferrara S and Girardello L 1989 Geometry of type II superstrings and the moduli of superconformal field theories Int. J. Mod. Phys. A 4 2475
15. de Wit B and Van Proeyen A 1992 Special geometry, cubic polynomials and homogeneous quaternionic spaces Commun. Math. Phys. 149 307-34 (Preprint hep-th/9112027)
16. Cremmer E and Van Proeyen A 1985 Classification of Kähler manifolds in N = 2 vector multiplet-supergravity couplings Class. Quantum Grav. 2 445
17. D'Auria R, Ferrara S and Trigiante M 2004 C-map, very special quaternionic geometry and dual Kaehler spaces Phys. Lett. B 587 138-42 (Preprint hep-th/0401161)
18. D'Auria R, Ferrara S and Trigiante M 2004 Homogeneous special manifolds, orientifolds and solvable coordinates Nucl. Phys. B 693 261-80 (Preprint hep-th/0403204)
19. Smet G and Van den Bergh J 2005 O(3)/O(7) orientifold truncations and very special quaternionic-Kähler geometry Class. Quantum Grav. 22 1-22 (Preprint hep-th/0407233)
20. Fré P, Gargiulo F and Rulik K 2006 Cosmic billiards with painted walls in non-maximal supergravities: a worked out example Nucl. Phys. B 737 1-48 (Preprint hep-th/0507256)
21. Henneaux M and Julia B 2003 Hyperbolic billiards of pure D = 4 supergravities J. High Energy Phys. JHEP05(2003)047 (Preprint hep-th/0304233)
22. Keurentjes A 2003 The group theory of oxidation: II. Cosets of non-split groups Nucl. Phys. B 658 348-72 (Preprint hep-th/0212024)
23. Helgason S 2001 Differential geometry, Lie groups and symmetric spaces Graduate Studies in Mathematics vol 34 (Providence, RI: American Mathematical Society)
24. Andrianopoli L, D'Auria R, Ferrara S, Fré P and Trigiante M 1997 R-R scalars, u-duality and solvable Lie algebras Nucl. Phys. B 496 617-29 (Preprint hep-th/9611014)
25. Andrianopoli L, D'Auria R, Ferrara S, Fré P, Minasian R and Trigiante M 1997 Solvable Lie algebras in type IIA, type IIB and M theories Nucl. Phys. B 493 249-80 (Preprint hep-th/9612202)
26. Trigiante M 1998 Dualities in supergravity and solvable Lie algebras PhD Thesis University of Wales, Swansea Preprint hep-th/9801144
27. Frè P 2001 Gaugings and other supergravity tools of p-brane physics Proc. Workshop on Latest Development in M-Theory (Paris, France, 1-9 February 2001) (Preprint hep-th/0102114)
28. Alekseevsky D V 1975 Classification of quaternionic spaces with a transitive solvable group of motions Math. USSR Izvestija 9 297-339
29. Frè P and Sorin A 2006 Integrability of supergravity billiards and the generalized Toda lattice equation Nucl. Phys. B 733 334-55 (Preprint hep-th/0510156)
30. Borel A and Tits J 1965 Groupes réductifs publications Mathémathiques de l'IHES 27 55-151
31. Borel A and Tits J 1972 (Compléments à l'article) 41 253-76 http://www.numdam.org
32. de Wit B, Vanderseypen F and Van Proeyen A 1993 Symmetry structure of special geometries Nucl. Phys. B 400 463-524 (Preprint hep-th/9210068)
33. Cortés V 1996 Alekseevskian spaces Differ. Geom. Appl. 6 129-68
34. Bergshoeff E, Cucu S, de Wit T, Gheerardyn J, Halbersma R, Vandoren S and Van Proeyen A 2002 Superconformal N = 2, D = 5 matter with and without actions J. High Energy Phys. JHEP10(2002)045 (Preprint hep-th/0205230)
35. Cecotti S 1989 Homogeneous Kähler manifolds and T algebras in N = 2 supergravity and superstrings Commun. Math. Phys. 124 23-55
36. Riccioni F 2001 All couplings of minimal six-dimensional supergravity Nucl. Phys. B 605 245-65 (Preprint hep-th/0101074)
37. Romans L J 1986 Selfduality for interacting fields: covariant field equations for six-dimensional chiral supergravities Nucl. Phys. B 276 71
38. Andrianopoli L, D'Auria R and Ferrara S 1998 U-duality and central charges in various dimensions revisited Int. J. Mod. Phys. A 13 431-90 (Preprint hep-th/9612105)
39. Nishino H and Sezgin E 1984 Matter and gauge couplings of N = 2 supergravity in six dimensions Phys. Lett. B 144 187
40. Bergshoeff E, Sezgin E and Van Proeyen A 1986 Superconformal tensor calculus and matter couplings in six dimensions Nucl. Phys. B 264 653
41. Van Proeyen A 1986 N = 2 matter couplings in d = 4 and 6 from superconformal tensor calculus Superunification and Extra Dimensions, Proc. 1st Torino Meeting ed R D'Auria and P Fré (Singapore: World Scientific) pp 97-125
42. Riccioni F 2000 Abelian vector multiplets in six-dimensional supergravity Phys. Lett. B 474 79-84 (Preprint hep-th/9910246)
43. 2 invariant compactifications in eleven-dimensional supergravity Nucl. Phys. B 248 685
44. de Wit B, Vanderseypen F and Van Proeyen A 1993 Symmetry structure of special geometries Nucl. Phys. B 400 463-524 (Preprint hep-th/9210068)
45. de Wit B and Van Proeyen A 1994 Isometries of special manifolds Proc. Meeting on Quaternionic Structures in Mathematics and Physics (Trieste, September 1994) (Preprint hep-th/9505097)
46. Fré P, Gargiulo F, Rulik K and Trigiante M 2006 The general pattern of Kac Moody extensions in supergravity and the issue of cosmic billiards Nucl. Phys. B 741 42-82 (Preprint hep-th/0507249)
47. Angelantonj C, D'Auria R, Ferrara S and Trigiante M 2004 orientifolds with fluxes, open string moduli and critical points Phys. Lett. B 583 331-7 (Preprint hep-th/0312019)
48. D'Auria R, Ferrara S and Trigiante M 2006 Orientifolds, brane coordinates and special geometry Deserfest: A Celebration of the Life and Works of Stanley Deser ed J T Liu et al (Singapore: World Scientific) (Preprint hep-th/0407138)
49. Tripathy P K and Trivedi S P 2003 Compactification with flux on K3 and Tori J. High Energy Phys. JHEP03(2003)028 (Preprint hep-th/0301139)
50. Andrianopoli L, D'Auria R, Ferrara S and Lledó M A 2003 4-D gauged supergravity analysis of type IIB vacua on J. High Energy Phys. JHEP03(2003)044 (Preprint hep-th/0302174)
51. Gaillard M K and Zumino B 1981 Duality rotations for interacting fields Nucl. Phys. B 193 221
52. Okubo S 1995 Representation of Clifford algebras and its applications Math. Jap. 41 59-79 (Preprint hep-th/9408165)
53. Alekseevsky D V, Cortés V, Devchand C and Van Proeyen A 2004 Polyvector Super-Poincaré algebras Commun. Math. Phys. 253 385-422 (Preprint hep-th/0311107)