Abstract
Hopefully the contents of the preceding chapters will have convinced the reader that SQC is a fascinating topic, in which many problems remain to be tackled. We have already mentioned some of these as we went along, and will now add considerably to the list.
But let us also illustrate one avenue of exploration in which SQC is by no means a closed book. In Sect. 10.1, we go beyond the confines of minisuperspace into a SUSY midisuperspace, where we find a method for glimpsing structure formation and definition of the vacuum, although much remains open for investigation. In fact, we will be able to provide some of the detail, but there is much room for improvement, extension, and exploration of new areas [1,2]. In Sect. 10.2, we present a longer list of possible lines of investigation, although only describing each one briefly, where methods, results, and implications are yet to be revealed.
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References
Moniz, P.V.: Can the imprint of an early supersymmetric quantum cosmological epoch be present in our cosmological observations? In: COSMO 97: 1st International Workshop on Particle Physics and the Early Universe, Ambleside, England, 15–19 September 1997
Moniz, P.V.: Origin of structure in a supersymmetric quantum universe. Phys. Rev. D 57, 7071–7074 (1998)
Kiefer, C.: Quantum Gravity. International Series of Monographs on Physics, vol. 136, 2nd edn., pp. 1–308. Clarendon Press, Oxford (2007)
Kiefer, C., Luck, T., Moniz, P.: The semiclassical approximation to supersymmetric quantum gravity. Phys. Rev. D 72, 045006 (2005)
Liddle, A.R., Lyth, D.H.: Cosmological inflation and large-scale structure, 400pp. Cambridge University Press, Cambridge (2000)
Wess, J., Bagger, J.: Supersymmetry and Supergravity, 259pp. Princeton University Press, Princeton, NJ (1992)
Halliwell, J.J., Hawking, S.W.: The origin of structure in the universe. Phys. Rev. D 31, 1777 (1985)
D’Eath, P.D.: Supersymmetric Quantum Cosmology, 252pp. Cambridge University Press, Cambridge (1996)
D’Eath, P.D., Halliwell, J.J.: Fermions in quantum cosmology. Phys. Rev. D 35, 1100 (1987)
Esposito, G.: Quantum gravity, quantum cosmology, and Lorentzian geometries. Lect. Notes. Phys. M 12, 1–326 (1992)
Hartle, J.B., Hawking, S.W.: Wave function of the universe. Phys. Rev. D 28, 2960–2975 (1983)
Moniz, P.V.: FRW minisuperspace with local N = 4 supersymmetry and self-interacting scalar field. Annalen Phys. 12, 174–198 (2003)
Cheng, A.D.Y., D’Eath, P.D., Moniz, P.R.L.V.: Quantization of a Friedmann–Robertson–Walker model in N = 1 supergravity with gauged supermatter. gr-qc/9503009 (1995)
Cheng, A.D.Y., D’Eath, P.D., Moniz, P.R.L.V.: Quantization of a Friedmann–Robertson–Walker model in N = 1 supergravity with gauged supermatter. Class. Quant. Grav. 12, 1343–1354 (1995)
Moniz, P.V.: FRW model with vector fields in \(N = 1\) supergravity. Helv. Phys. Acta 69, 293–296 (1996)
Moniz, P.V.: Quantization of a Friedmann–Robertson–Walker model with gauge fields in N = 1 supergravity. gr-qc/9604045 (1996)
Moniz, P.V.: Supersymmetric quantum cosmology – shaken not stirred. Int. J. Mod. Phys. A 11, 4321–4382 (1996)
Moniz, P.V.: Wave function of a supersymmetric FRW model with vector fields. Int. J. Mod. Phys. D 6, 465–478 (1997)
Moniz, P.V.: Why two is more attractive than one … or Bianchi class A models and Reissner–Nordstroem black holes in quantum N = 2 supergravity. Nucl. Phys. Proc. Suppl. 57, 307–311 (1997)
Luckock, H., Oliwa, C.: Quantisation of Bianchi class A models in supergravity and the probability density function of the universe. In: 7th Marcel Grossmann Meeting on General Relativity (MG 7), Stanford, CA, 24–30 July 1994
Luckock, H.: Boundary conditions for Nicolai maps. J. Phys. A 24, L1057–L1064 (1991)
Luckock, H.: Boundary terms for globally supersymmetric actions. Int. J. Theor. Phys. 36, 501–508 (1997)
Luckock, H., Oliwa, C.: The cosmological probability density function for Bianchi class A models in quantum supergravity. Phys. Rev. D 51, 5483–5490 (1995)
Graham, R., Luckock, H.: Cosmological time in quantum supergravity. Phys. Rev. D 55, 1943–1947 (1997)
Barvinsky, A.O., Kiefer, C.: Wheeler–DeWitt equation and Feynman diagrams. Nucl. Phys. B 526, 509–539 (1998)
Gerhardt, C.: Quantum cosmological Friedmann models with an initial singularity. Class. Quant. Grav. 26, 015001 (2009)
Schreiber, U.: Supersymmetric homogeneous quantum cosmology, Diploma thesis, University Essen, http://www.theo-phys.uniessen.de/tp/ags/graham_dir/pub_gravi.html (2003)
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Moniz, P.V. (2010). More Routes Beyond the Borders. In: Quantum Cosmology - The Supersymmetric Perspective - Vol. 2. Lecture Notes in Physics, vol 804. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11570-7_10
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