Flows on Quaternionic-Kähler and very special real manifolds

Communications in Mathematical Physics

Volumn 238, Issue 3, 2003, Pages 525-543

  Alekseevsky, Dmitri V ^a   Cortés, Vicente ^b   Devchand, Chandrashekar ^b   Van Proeyen, Antoine ^c  

^a UNIVERSITY OF HULL   (United Kingdom)

^b UNIVERSITY OF BONN   (Germany)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043092629     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0850-4     Document Type: Article

References (28)

1. Aharony, O., Gubser, S.S., Maldacena, J., Ooguri, H., Oz, Y: Large N field theories, string theory and gravity. Phys. Rept. 323, 183-386 (2000) hep-th/9905111
2. Randall, L., Sundrum, R.: A large mass hierarchy from a small extra dimension. Phys. Rev. Lett. 83, 3370-3373 (1999) hep-ph/9905221
3. Randall, L., Sundrum, R.: An alternative to compactification. Phys. Rev. Lett. 83, 4690-4693 (1999) hep-th/9906064
4. Günaydin, M., Sierram G.,Townsend, P. K.: The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras. Nucl. Phys. B242, 244 (1984)
5. de Wit. B., Van Proeyen, A.: Broken sigma model isometries in very special geometry. Phys. Lett. 8293, 94-99 (1992) hep-th/9207091
6. Ceresole, A., Dall' Agata, G.: General matter coupled Ν = 2, D = 5 gauged supergravity. Nucl. Phys. B585, 143-170 (2000) hep-th/0004111
7. Ceresole, A., Dall' Agata, G., Kallosh, R., Van Proeyen, A.: Hypermultiplets, domain walls and supersymmetric attractors. Phys. Rev. D64, 104006 (2001) hep-th/0104056
8. Lopes Cardoso, G., Dall' Agata, G., Lüst, D.: Curved BPS domain wall solutions in five- dimensional gauged supergravity. JHEP 07, 026 (2001) hep-th/0104156
9. Chamseddine, A.M. Sabra, W.A.: Curved domain walls of five dimensional gauged supergravity. Nucl. Phys. B630, 326-338 (2002) hep-th/0105207
10. Chamseddine, A.H., Sabra, W.A.: Einstein brane-worlds in 5D gauged supergravity. Phys. Lett. B517, 184-190 (2001) hep-th/0106092
11. Behrndt, K., Herrmann, C., Louis, J., Thomas, S.: Domain walls in five dimensional supergravity with non-trivial hypermultiplets. JHEP 01, 011 (2001) hep-th/ 0008112
12. Behrndt, K., Gukov, S., Shmakova, M.: Domain walls, black holes, and supersymmetric quantum mechanics. Nucl. Phys. 8601, 49-76 (2001) hep-th/0101119
13. Alekseevsky, D.V.: Riemannian spaces with exceptional holonomy groups. Funct. Anal. Applic. 2, 97-105 (1968)
14. Bagger, J., Duplij, S., Siegel, W. eds.: Concise Encyclopedia of Supersymmetry. Dordrecht: Kluwer Academic publishers, 2003
15. Van Proeyen, A.: The scalars of N = 2, D = 5 and attractor equations, in 'New developments in fundamental interaction theories' proceedings of 37th Karpacz Winter School, Feb 2001; eds. J. Lukierski and J. Rembielinski, AIP proceedings 589, 2001, pp. 31-45 hep-th/0105158
16. Frè, P.: Gaugings and other supergravity tools of p-brane physics, hep-th/0102114, Lectures given at EC-RTN Workshop on Latest Development in M-Theory, Paris, France. Feb 2001
17. D'Auria, R., Ferrara, S.: On fermion masses, gradient flows and potential in supersymmetric theories. JHEP 05, 034 (2001) hep-th/0103153
18. Galicki, K., Lawson Jr., H.B.: Quaternionic reduction and quaternionic orbifolds. Math. Ann. 282, 1-21 (1988)
19. Wolf, J.A.: Complex homogeneous contact manifolds and quaternionic symmetric spaces. J. Math. Mech. 14, 1033-1047 (1965)
20. Alekseevsky, D.V.: Classification of quaternionic spaces with a transitive solvable group of motions. Math. USSR Izvestija 9, 297-339 (1975)
21. de Wit, B., Van Proeyen, A.: Special geometry, cubic polynomials and homogeneous quaternionic spaces. Commun. Math. Phys. 149, 307-334 (1992) hep-th/9112027
22. Cortés, V.: Alekseevskian spaces. Diff. Geom. Appl. 6, 129-168 (1996) Available from http://www.math.uni-bonn.de/people/vicente/
23. Alekseevsky, D.V., Cortés, V.: Homogeneous quaternionic Kähler manifolds of unimodular group. Boll. Un. Mat. Ital. B(7) 11(2), suppl. 217-229 (1997) available from http://www.math.uni-bonn.de/people/vicente/
24. de Wit, B., Vanderseypen, F., Van Proeyen, A.: Symmetry structure of special geometries. Nucl. Phys. B400, 463-524 (1993) hep-th/9210068
25. de Wit, B., Van Proeyen, A.: Isometries of special manifolds, hep- th/9505097, Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, Trieste, September 1994; available on http://www.emis.de/proceedings/QSMP94/
26. Cortés, V: A new construction of homogeneous quaternionic manifolds and related geometric structures. Memoirs Amer. Math. Soc. 147(700), 1-63 (2000) math.DG/9908058
27. Kallosh, R., Linde, A.: Supersymmetry and the brane world. JHEP 02, 005 (2000) hep-th/0001071
28. Behrndt, K., Cvetič, M.: Anti-de Sitter vacua of gauged supergravities with 8 supercharges. Phys. Rev. D61, 101901 (2000) hep-th/0001159