Supersymmetry and quantum cosmology. (English) Zbl 0977.83118
Summary: The development of the \(N=4\) supersymmetric approach to quantum cosmology based on the non-compact global \(O(d,d)\) symmetries of the effective action is given. The \(N=4\) supersymmetric action whose bosonic sector is invariant under \(O(d,d)\) is determined. A representation for supercharges is obtained and the form of the zero and one-fermion quantum states leading to the Wheeler-De Witt equation is found.
Keywords:
non-compact global \(O(d,d)\) symmetries; supercharge representation; Wheeler-De Witt equationReferences:
| [1] | J.A. Wheeler, in: C. De Witt, J.A. DeWheeler (Eds.), 1968 Battelle Rencontres, Benjamin, New York; J.A. Wheeler, in: C. De Witt, J.A. DeWheeler (Eds.), 1968 Battelle Rencontres, Benjamin, New York |
| [2] | van Elst, H.; Lidsey, J. E.; Tavakol, R., Lanczos Centenary Proceedings, WATPHYS-TH-94/03 |
| [3] | Diamandis, G. A.; Georgalas, B. C.; Mavromatos, N. E.; Papontonopoulos, E., Phys. Lett. B, 461, 57 (1999) |
| [4] | Diamandis, G. A.; Georgalas, B. C.; Lahanas, A. B., Phys. Lett. B, 287, 69 (1992) |
| [5] | Tseytlin, A. A.; Vafa, C., Nucl. Phys. B, 372, 443 (1992) |
| [6] | D’Earth, P. D., Supersymmetric Quantum Cosmology (1996), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0889.53052 |
| [7] | Graham, R., Phys. Rev. Lett., 67, 1381 (1991) · Zbl 0990.83521 |
| [8] | Lidsey, J. E.; Maharana, J., CERN-TH/98-22 |
| [9] | Sen, A., Phys. Rev. D, 32, 2102 (1985) |
| [10] | Meissner, K. A.; Veneziano, G., Phys. Lett. B, 267, 33 (1991) |
| [11] | Gasperini, M.; Veneziano, G., Gen. Relativ. Gravit., 28, 1301 (1996) · Zbl 0875.83065 |
| [12] | deAlfaro, V.; Fubini, S.; Furlan, G.; Roncadelli, M., Nucl. Phys. B, 296, 402 (1988) |
| [13] | Graham, R.; Roeckaets, D., Phys. Rev. D, 34, 2312 (1986) |
| [14] | Capovilla, R.; Guven, J., Class. Quant. Grav., 11, 1961 (1994) |
| [15] | Bene, J.; Graham, R., Phys. Rev. D, 49, 799 (1994) |
| [16] | Galperin, A.; Ivanov, E.; Kalitzin, S.; Ogievetsky, V.; Sokatchev, E., Class. Quant. Grav., 1, 469 (1984) |
| [17] | Maharana, J., Phys. Lett. B, 296, 65 (1992) |
| [18] | Clancy, D.; Lidsey, J. E.; Tavakol, R., Class. Quant. Grav., 15, 257 (1998) · Zbl 0909.53065 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
