Quick Search:
Prog. Theor. Phys. Supplement No.114 (1993) pp. 23-30
Zero-Modes and Physical States in Topological 2-Form Gravity
Tatsuya Ueno
Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152
Abstract:
We propose a topological version of four-dimensional Einstein gravity with or without a cosmological constant, which describes the moduli space of conformally self-dual Einstein manifolds. We show that in the presence of the cosmological constant, a unique quantum state in the topological theory gives an exact solution of the Wheeler-DeWitt equation in Einstein gravity.
URL :
http://ptp.ipap.jp/link?PTPS/114/23/
DOI : 10.1143/PTPS.114.23
References:
-
E. Witten, Phys. Lett. B 206 (1988), 601[CrossRef].
-
E. Witten, Commun. Math. Phys. 117 (1988), 353[CrossRef].
- M. J. Perry and E. Teo, Nucl. Phys. B 401 (1993), 206.
-
C. G. Torre, Phys. Rev. D 41 (1990), 3620[APS]; Phys. Lett. B 252 (1990), 242;
J. Math. Phys. 31 (1990), 2983[AIP Scitation]; ``A Deformation Theory of Self-Dual Einstein Spaces”, Preprint (Sept., 1991).
- H. Kunitomo, Mod. Phys. Lett. A 6 (1991), 2389.
- R. Myers and V. Periwal, Nucl. Phys. B 361 (1991), 290.
-
A. Nakamichi, A. Sugamoto and I. Oda, Phys. Rev. D 44 (1991), 3835[APS].
I. Oda and A. Sugamoto, Phys. Lett. B 266 (1991), 280[CrossRef].
-
H. Y. Lee, A. Nakamichi and T. Ueno, Phys. Rev. D 47 (1993), 1563[APS].
-
R. Capovilla, J. Dell, T. Jacobson and L. Mason, Class. Quantum Grav. 8 (1991), 41[CrossRef].
- R. Penrose and W. Rindler, Spinors and Space-Time (Cambridge University Press, Cambridge, 1984), vols, I, II.
-
L. Baulieu and I. M. Singer, Nucl. Phys. B (Proc. Suppl.) 5 (1988), 12[CrossRef].
-
M. Blau and G. Thompson, Ann. of Phys. 205 (1991), 130[CrossRef]; Phys. Lett. B 255 (1991), 535.
-
D. Birmingham, M. Blau, M. Rakowski and G. Thompson, Phys. Rep. 209 (1991), 129[CrossRef].
-
G. T. Horowitz, Commun. Math. Phys. 125 (1989), 417[CrossRef].
-
J. Samuel, Class. Quantum Grav. 5 (1988), L123[IoP STACKS].
-
E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. B 55 (1975), 224[CrossRef].
I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 69 (1977), 309[CrossRef].
- M. Henneaux, Phys. Rep. 26 (1985), 1.
- M. Abe, A. Nakamichi and T. Ueno, TIT Preprint, TIT/HEP-224/COSMO-32.
- P. Shanahan, The Atiyah-Singer Index Theorem: An Introduction (Springer-Verlag, Berlin, 1978).
- A. L. Besse, Einstein Manifolds (Springer-Verlag, Berlin, Heidelberg, 1987).
-
H. Kodama, Phys. Rev. D 42 (1990), 2548[APS].
- E. G. Stueckelberg, Helv. Phys. Acta 30 (1957), 209.
- A. Nakamichi and T. Ueno, Phys. Lett. B 313 (1993), 25.
- A. Nakamichi and T. Ueno, in preparation.
