PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2008 | 6 | 4 | 864-871
Tytuł artykułu

On the Dirac eigenvalues as observables of the on-shell N = 2D = 4 Euclidean supergravity

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We generalize previous works on the Dirac eigenvalues as dynamical variables of Euclidean gravity and N =1 D = 4 supergravity to on-shell N = 2 D = 4 Euclidean supergravity. The covariant phase space of the theory is defined as the space of the solutions of the equations of motion modulo the on-shell gauge transformations. In this space we define the Poisson brackets and compute their value for the Dirac eigenvalues.
Wydawca

Czasopismo
Rocznik
Tom
6
Numer
4
Strony
864-871
Opis fizyczny
Daty
wydano
2008-12-01
online
2008-09-27
Twórcy
autor
  • Grupo de Física Teórica e Matemática Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro (UFRRJ), Cx. Postal 23851, BR 465 Km 7, 23890-000, Seropédica-RJ, Brasil, ionvancea@ufrrj.br
Bibliografia
  • [1] C. J. Isham, In: R. Stora and B. S. DeWitt (Eds.), Relativity, Groups and Topology II, Proceedings of the Les Houches Summer School, Les Houches, France, 1983, Les Houches Summer School Proceedings, Vol 40 (North-Holland, Amsterdam, 1984)
  • [2] A. Connes, Noncommutative Geometry (Academic Press, New York, 1994)
  • [3] P. Gilkey, Invariant Theory, The Heat Equation and the Atiyah-Singer Index Theorem (Chemical Rubber Company, Boca Raton, FL, 1995)
  • [4] R. De Pietri, C. Rovelli, Class. Quant. Grav. 12, 1279 (1995) http://dx.doi.org/10.1088/0264-9381/12/5/017[Crossref]
  • [5] G. Landi, C. Rovelli, Phys. Rev. Lett. 78, 3051 (1997) http://dx.doi.org/10.1103/PhysRevLett.78.3051[Crossref]
  • [6] G. Landi, C. Rovelli, Mod. Phys. Lett. A 13, 479 (1998) http://dx.doi.org/10.1142/S0217732398000541[Crossref]
  • [7] G. Landi, Lect. Notes Phys. 596, 299 (2002) http://dx.doi.org/10.1007/3-540-46082-9_16[Crossref]
  • [8] G. Landi, An Introduction to Noncommutative Spaces and their Geometries (Springer-Verlag, New-York, 1997)
  • [9] S.I. Vacaru, N.A. Vicol, Int. J. Math. Math. Sci. 23, 1189 (2004) http://dx.doi.org/10.1155/S0161171204212170[Crossref]
  • [10] S.I. Vacaru, E. Gaburov, arXiv:hep-th/0310133
  • [11] S.I. Vacaru, arXiv:hep-th/0310132
  • [12] S.I. Vacaru, J. Math. Phys. 46, 042503 (2005) http://dx.doi.org/10.1063/1.1869538[Crossref]
  • [13] S.I. Vacaru, arXiv:hep-th/0211068
  • [14] S.I. Vacaru, arXiv:math-ph/0205023
  • [15] I.V. Vancea, Phys. Rev. Lett. 79, 3121 (1997), [Erratumibid. 80, 1355 (1998)] http://dx.doi.org/10.1103/PhysRevLett.79.3121[Crossref]
  • [16] I.V. Vancea, Phys. Rev. D 58, 045005 (1998) http://dx.doi.org/10.1103/PhysRevD.58.045005[Crossref]
  • [17] C. Ciuhu, I.V. Vancea, Int. J. Mod. Phys. A 15, 2093 (2000)
  • [18] N. Pauna, I.V. Vancea, Mod. Phys. Lett. A 13, 3091 (1998) http://dx.doi.org/10.1142/S0217732398003296[Crossref]
  • [19] M.C.B. Abdalla, M.A. De Andrade, M.A. Santos, I.V. Vancea, Phys. Lett. B 548, 88 (2002) http://dx.doi.org/10.1016/S0370-2693(02)02817-4[Crossref]
  • [20] M.A. De Andrade, I.V. Vancea, In: S. Duplij, W. Siegel, J. Bagger (Eds.), Concise Encyclopedia of Supersymmetry-And Noncommutative Structures in Mathematics and Physics (Kluwer, Dordrecht, 2003)
  • [21] O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri, Y. Oz, Phys. Rep. 323, 183 (2000) http://dx.doi.org/10.1016/S0370-1573(99)00083-6[Crossref]
  • [22] P. van Nieuwenhuizen, A. Waldron, Phys. Lett. B 389, 29 (1996) http://dx.doi.org/10.1016/S0370-2693(96)01251-8[Crossref]
  • [23] P. van Nieuwenhuizen, A. Waldron, In: A. Sevrin, K.S. Stelle, K. Thielemans, A. Van Proeyen (Eds.), Gauge Theories, Applied Supersymmetry and Quantum Gravity II: Proceedings of the Workshop Held at Imperial College (World Scientific, Singapore, 1997)
  • [24] A.V. Belitsky, S. Vandoren, P. van Nieuwenhuizen, Phys. Lett. B 477, 335 (2000) http://dx.doi.org/10.1016/S0370-2693(00)00183-0[Crossref]
  • [25] U. Theis, P. Van Nieuwenhuizen, Class. Quant. Grav. 18, 5469 (2001) http://dx.doi.org/10.1088/0264-9381/18/24/311[Crossref]
  • [26] M.F. Atiyah, I.M. Singer, Annals Math. 93, 139 (1971) http://dx.doi.org/10.2307/1970757[Crossref]
  • [27] A. Ashtekar, L. Bombelli, O. Reula, In: M. Francaviglia, D. Holm (Eds.), Mechanics, Analysis and Geometry: 200 Years after Lagrange (North-Holland, Amsterdam, 1991)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0116-z
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.