Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We re-examine previously found cosmological solutions to eleven-dimensional supergravity in the light of the E10-approach to M-theory. We focus on the solutions with non zero electric field determined by geometric configurations (nm, g3), n ≤ 10. We show that these solutions are associated with rank g regular subalgebras of E10, the Dynkin diagrams of which are the (line) incidence diagrams of the geometric configurations. Our analysis provides as a byproduct an interesting class of rank-10 Coxeter subgroups of the Weyl group of E10. © SISSA 2006.

Registro:

Documento: Artículo
Título:Geometric configurations, regular subalgebras of E10 and M-theory cosmology
Autor:Henneaux, M.; Leston, M.; Persson, D.; Spindel, P.
Filiación:Physique Théorique et Mathématique, Université Libre de Bruxelles, International Solvay Institutes, C.P.231, B-1050 Bruxelles, Belgium
Theoretische Naturkunde, Vrije Universiteit Brussel, International Solvay Institutes, Pleinlaan 2, B-1050 Brussels, Belgium
Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile
Instituto de Astronomica y Fisica del Espacio (IAFE), Casilla de Correo 67, 1428 Buenos Aires, Argentina
Mécanique et Gravitation, Université de Mons-Hainaut, Académie Wallonie-Bruxelles, Place du Parc 20, 7000 Mons, Belgium
Palabras clave:Global Symmetries; M-Theory; String Duality
Año:2006
Volumen:2006
Número:10
DOI: http://dx.doi.org/10.1088/1126-6708/2006/10/021
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:10298479
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v2006_n10_p_Henneaux

Referencias:

  • Demaret, J., Hanquin, J.L., Henneaux, M., Spindel, P., Cosmological models in eleven-dimensional supergravity (1985) Nucl. Phys., 252, p. 538
  • Damour, T., Henneaux, M., Oscillatory behaviour in homogeneous string cosmology models (2000) Phys. Lett., 488 (2), p. 108
  • Damour, T., Henneaux, M., E10, BE10 and arithmetical chaos in superstring cosmology (2001) Phys. Rev. Lett., 86 (21), p. 4749
  • Belinsky, V.A., Khalatnikov, I.M., Lifshitz, E.M., Oscillatory approach to a singular point in the relativistic cosmology (1970) Adv. Phys., 19 (80), pp. 525-573
  • Chitre, D.M., ; Misner, C.W., The Mixmaster Cosmological Metrics
  • Kirillov, A.A., (1993) Sov. Phys. JETP, 76, p. 355
  • Kirillov, A.A., Melnikov, V.N., Dynamics of inhomogeneities of metric in the vicinity of a singularity in multidimensional cosmology (1995) Phys. Rev., 52 (2), p. 723
  • Ivashchuk, V.D., Kirillov, A.A., Melnikov, V.N., Stochastic behavior of multidimensional cosmological models near a singularity (2000) Russ. Phys. J., 37 (11), p. 1102
  • Ivashchuk, V.D., Kirillov, A.A., Melnikov, V.N., Stochastic properties of multidimensional cosmological models near a singular point (1994) JETP Lett., 60, p. 235
  • Ivashchuk, V.D., Melnikov, V.N., Billiard representation for multidimensional cosmology with intersecting p-branes near the singularity J. Math. Phys., 41, p. 6341
  • Damour, T., Henneaux, M., Nicolai, H., Cosmological billiards (2003) Class. Quantum Grav., 20 (9), p. 145
  • Damour, T., Henneaux, M., Julia, B., Nicolai, H., Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models (2001) Phys. Lett., 509 (3-4), p. 323
  • Damour, T., Henneaux, M., Nicolai, H., E10 and a 'small tension expansion' of M-theory (2002) Phys. Rev. Lett., 89 (22), p. 221601
  • Julia, B., Kac-Moody Symmetry of Gravitation and Supergravity Theories
  • West, P.C., E11 and M-theory (2001) Class. Quantum Grav., 18 (21), p. 4443
  • Ivashchuk, V.D., Melnikov, V.N., Singleton, D., On avoiding cosmological oscillating behavior for s-brane solutions with diagonal metrics (2005) Phys. Rev., 72 (10), p. 103511
  • Kantor, S., Sitzungsbereichte der matematisch naturewissenshaftlichen classe (1881) K. Academie der Wissenschaften, Vienna, 84, pp. 1291-1314
  • Hilbert, D., Cohn-Vossen, S., Geometry and the Imagination
  • Page, W., Dorwart, H.L., Numerical patterns and geometrical configurations (1984) Mathematics Magazine, 57 (2), pp. 82-92
  • Kac, V., (1990) Infinite Dimensional Lie Algebras
  • Henneaux, M., Julia, B., Hyperbolic billiards of pure D = 4 supergravities (2003) J. High Energy Phys., 2003 (5), p. 047
  • Coleman, S.R., Wess, J., Zumino, B., Structure of phenomenological lagrangians, 1 (1969) Phys. Rev., 177 (5), p. 2239
  • Callan, C.G., Coleman, S.R., Wess, J., Zumino, B., Structure of phenomenological lagrangians (1969) Phys. Rev., 177 (5), p. 2247
  • Kac, V.G., Moody, R.V., Wakimoto, M., On E10
  • Nicolai, H., Fischbacher, T., Low Level Representations for E10 and E11
  • Damour, T., Nicolai, H., Eleven Dimensional Supergravity and the E10/K(E10) Sigma-model at Low A9 Levels
  • Gaberdiel, M.R., Olive, D.I., West, P.C., A class of lorentzian Kac-Moody algebras (2002) Nucl. Phys., 645 (3), p. 403
  • Dynkin, E.B., Semisimple subalgebras of semisimple Lie algebras (1957) American Mathematical Society Translations, 6, p. 111
  • Kleinschmidt, A., Nicolai, H., E10 and SO(9,9) invariant supergravity (2004) J. High Energy Phys., 2004 (7), p. 041
  • Brown, J., Ganguli, S., Ganor, O.J., Helfgott, C., E10 orbifolds (2005) J. High Energy Phys., 2005 (6), p. 057
  • Feingold, A.J., Nicolai, H., Subalgebras of Hyperbolic Kac-Moody Algebras
  • Englert, F., Henneaux, M., Houart, L., From very-extended to overextended gravity and M-theories (2005) J. High Energy Phys., 2005 (2), p. 070
  • Fre, P., Cosmological backgrounds of superstring theory and solvable algebras: Oxidation and branes (2004) Nucl. Phys., 685, p. 3
  • Fre, P., Rulik, K., Trigiante, M., Exact solutions for bianchi type cosmological metrics, Weyl orbits of E8(8) subalgebras and p-branes (2004) Nucl. Phys., 694, p. 239
  • Kleinschmidt, A., Nicolai, H., E10 cosmology (2006) J. High Energy Phys., 2006 (1), p. 137
  • Baez, J., The Octonions
  • Schafer, R.D., An Introduction to Non-Associative Algebras
  • Bokowski, J., Sturmfels, B., Computational Synthetic Geometry
  • Gutperle, M., Strominger, A., Spacelike branes (2002) J. High Energy Phys., 2002 (4), p. 018
  • Englert, F., Houart, L., G+++ invariant formulation of gravity and M-theories: Exact intersecting brane solutions (2004) J. High Energy Phys., 2004 (5), p. 059
  • Englert, F., Houart, L., G+++ invariant formulation of gravity and M-theories: Exact BPS solutions (2004) J. High Energy Phys., 2004 (1), p. 002
  • Ohta, N., Intersection rules for S-branes (2003) Phys. Lett., 558 (3-4), p. 213
  • Argurio, R., Englert, F., Houart, L., Intersection rules for p-branes (1997) Phys. Lett., 398 (1-2), p. 61
  • Ohta, N., Intersection rules for non-extreme p-branes (1997) Phys. Lett., 403 (3-4), p. 218
  • De Buyl, S., Pinardi, G., Schomblond, C., Einstein billiards and spatially homogeneous cosmological models (2003) Class. Quantum Grav., 20 (23), p. 5141

Citas:

---------- APA ----------
Henneaux, M., Leston, M., Persson, D. & Spindel, P. (2006) . Geometric configurations, regular subalgebras of E10 and M-theory cosmology. Journal of High Energy Physics, 2006(10).
http://dx.doi.org/10.1088/1126-6708/2006/10/021
---------- CHICAGO ----------
Henneaux, M., Leston, M., Persson, D., Spindel, P. "Geometric configurations, regular subalgebras of E10 and M-theory cosmology" . Journal of High Energy Physics 2006, no. 10 (2006).
http://dx.doi.org/10.1088/1126-6708/2006/10/021
---------- MLA ----------
Henneaux, M., Leston, M., Persson, D., Spindel, P. "Geometric configurations, regular subalgebras of E10 and M-theory cosmology" . Journal of High Energy Physics, vol. 2006, no. 10, 2006.
http://dx.doi.org/10.1088/1126-6708/2006/10/021
---------- VANCOUVER ----------
Henneaux, M., Leston, M., Persson, D., Spindel, P. Geometric configurations, regular subalgebras of E10 and M-theory cosmology. J. High Energy Phys. 2006;2006(10).
http://dx.doi.org/10.1088/1126-6708/2006/10/021