Skip to main content
SpringerLink
Log in

Introduction

  • Chapter
  • First Online:
Quantum Cosmology - The Supersymmetric Perspective - Vol. 1

Part of the book series: Lecture Notes in Physics ((LNP,volume 803))

  • 1342 Accesses

Abstract

What is this book about? What is quantum cosmology with supersymmetry? How is supersymmetry implemented? Is it through the use of (recent developments in) a superstring theory? Why should the very early universe be explored in that manner? Are there enticing and interesting research problems left to solve? How relevant would it be to address and solve them?

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    N = 1 4D SUGRA can follow from 11D or 10D SUGRA through suitable compactifications and restrictions. Other 4D limits are, e.g., N = 2 SUGRA (which constitutes the sought route to bring Einstein's general relativity and Maxwell's electromagnetism within a unified setting), and N = 8 SUGRA [8] (which was long considered the best hope for a unified theory of all interactions and quantum gravity).

References

  1. D. Bailin and A. Love: Supersymmetric Gauge Field Theory and String Theory, Graduate Student Series in Physics, IOP, Bristol (1994) p. 322

    Google Scholar 

  2. P. Binetruy: Supersymmetry, Oxford University Press, Oxford (2006)

    MATH  Google Scholar 

  3. P.G.O. Freund: Introduction to Supersymmetry. Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge (1986)

    Google Scholar 

  4. H.J.W. Muller-Kirsten and A. Wiedemann: Supersymmetry. An introduction with conceptual and calculational details. Print-86–0955 (Kaiserslautern)

    Google Scholar 

  5. H.P. Nilles: Supersymmetry, supergravity and particle physics. Phys. Rep. 110, 1 (1984)

    Article  ADS  Google Scholar 

  6. M.F. Sohnius: Introducing supersymmetry. Phys. Rep. 128, 39–204 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  7. S. Weinberg: The Quantum Theory of Fields. 3. Supersymmetry. Cambridge University Press, Cambridge (2000)

    Book  Google Scholar 

  8. P. Van Nieuwenhuizen: Supergravity. Phys. Rep. 68, 189–398 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  9. J. Wess and J. Bagger: Supersymmetry and Supergravity. Princeton University Press, Princeton, NJ (1992)

    Google Scholar 

  10. P.C. West. Introduction to Supersymmetry and Supergravity. World Scientific, Singapore (1990)

    Google Scholar 

  11. J. Polchinski: String Theory. 1. An Introduction to the Bosonic String. Cambridge University Press, Cambridge (1998)

    Google Scholar 

  12. J. Polchinski: String Theory. 2. Superstring Theory and Beyond. Cambridge University Press, Cambridge (1998)

    Book  Google Scholar 

  13. B. Zwiebach: A First Course in String Theory. Cambridge University Press, Cambridge (2004)

    Book  Google Scholar 

  14. M.J. Duff (Ed.): The World in Eleven Dimensions. Supergravity, Supermembranes and M-Theory. IOP, Bristol (1999)

    Google Scholar 

  15. M. Duff: Ten big questions. AIP Conf. Proc. 758, 3–29 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  16. M.J. Duff: Top ten problems in fundamental physics. Int. J. Mod. Phys. A 16, 1012–1013 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  17. C.V. Johnson: D-Branes. Cambridge University Press, Cambridge, MS (2003)

    Google Scholar 

  18. M. Kaku: Introduction to Superstrings and M-Theory. Springer, New York (1999)

    Book  Google Scholar 

  19. M. Kaku: Strings, Conformal Fields, and M-Theory. Springer, New York (2000)

    Book  Google Scholar 

  20. C. Kiefer. Quantum Gravity, 2nd edn., International Series of Monographs on Physics 136, Clarendon Press, Oxford (2007)

    Google Scholar 

  21. M. Bouhmadi-Lopez and P.V. Moniz: Quantisation of parameters and the string landscape problem, hep-th/0612149 (2006)

    Google Scholar 

  22. R. Bousso: Precision cosmology and the landscape, hep-th/0610211 (2006)

    Google Scholar 

  23. R. Easther, B.R. Greene, W.H. Kinney, and G. Shiu: Imprints of short distance physics on inflationary cosmology. Phys. Rev. D 67, 063508 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  24. W.H. Kinney: Cosmology, inflation, and the physics of nothing, astro-ph/0301448 (2003)

    Google Scholar 

  25. M. Tegmark: What does inflation really predict? JCAP 0504, 001 (2005)

    Article  ADS  Google Scholar 

  26. M.S. Turner: A sober assessment of cosmology at the new millennium. Publ. Astron. Soc. Pac. 113, 653 (2001)

    Article  ADS  Google Scholar 

  27. L.Z. Fang and R. Ruffini (Eds.): Quantum cosmology. Advanced Series in Astrophysics and Cosmology 3, World Scientific, Singapore (1987)

    Google Scholar 

  28. J.J. Halliwell: Introductory lectures on quantum cosmology. To appear in Proc. of Jerusalem Winter School on Quantum Cosmology and Baby Universes, Jerusalem, Israel, 27 December 1989–4 January 1990

    Google Scholar 

  29. J.J. Halliwell: A bibliography of papers on quantum cosmology. Int. J. Mod. Phys. A 5, 2473–2494 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  30. J.B. Hartle: Quantum cosmology. In New Haven 1985, Proceedings, High Energy Physics, Vol. 2 (1985) pp. 471–566

    Google Scholar 

  31. J.B. Hartle: Quantum cosmology. Problems for the 21st century, gr-qc/9701022 (1997)

    Google Scholar 

  32. S.W. Hawking: Lectures on quantum cosmology. In De Vega, H.J. and Sanchez, N. (Eds.), Field Theory, Quantum Gravity and Strings. Cambridge University Press, Cambridge (1986) pp. 1–45

    Chapter  Google Scholar 

  33. C. Kiefer: Quantum gravity. A general introduction. Lect. Notes Phys. 631, 3–13 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  34. C. Kiefer: Conceptual issues in quantum cosmology. Lect. Notes Phys. 541, 158–187 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  35. D.N. Page: Lectures on quantum cosmology. In Proceedings of Banff Summer Institute on Gravitation, Banff, Canada, 12–15 August 1990, Mann, R.B. et al. (Eds.), World Scientific, Singapore (1991)

    Google Scholar 

  36. D.L. Wiltshire: An introduction to quantum cosmology. In Cosmology: The Physics of the Universe, Proceedings of the 8th Physics Summer School, A.N.U., Jan–Feb, 1995, By B. Robson, N. Visvanathan, and W.S. Woolcock (Eds.), World Scientific, Singapore (1996) pp. 473–531. gr-qc/0101003 (1995)

    Google Scholar 

  37. R. Arnowitt, S. Deser, and C.W. Misner: Canonical variables for general relativity. Phys. Rev. 117, 1595–1602 (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. R. Arnowitt, S. Deser, and C.W. Misner: The dynamics of general relativity, gr-qc/0405109 (1962)

    Google Scholar 

  39. B.S. DeWitt: Quantum theory of gravity. I. The canonical theory. Phys. Rev. 160, 1113–1148(1967)

    Article  ADS  MATH  Google Scholar 

  40. C.M. Dewitt and J.A. Wheeler: Battelle Rencontres, 1967 Lectures in Mathematics and Physics (Seattle), W.A. Benjamin, Inc., New York (1968)

    Google Scholar 

  41. C.W. Misner: Minisuperspace. In J.R. Klauder (Ed.), Magic Without Magic, Freeman, San Francisco (1972) pp. 441–473

    Google Scholar 

  42. M.P. Ryan and L.C. Shepley: Homogeneous Relativistic Cosmologies. Princeton Series in Physics, Princeton University Press, Princeton, NJ (1975)

    Google Scholar 

  43. J.A. Wheeler: Superspace. In Gilbert, R.D. and Newton, R. (Eds.), Analytic Methods in Mathematical Physics, Gordon and Breach, New York (1970) pp. 335–378

    Google Scholar 

  44. J.A. Wheeler: Superspace and the nature of quantum geometrodynamics. In Fang, L.-Z., Ruffini, R. (Eds.), Quantum Cosmology, Wiley, New York (1988) pp. 27–92

    Google Scholar 

  45. J.A. Wheeler: On the nature of quantum geometrodynamics. Ann. Phys. 2, 604–614 (1957)

    Article  ADS  MATH  Google Scholar 

  46. S.W. Hawking: Quantum cosmology. Prepared for 300 Years of Gravity. A Conference to Mark the 300th Anniversary of the Publication of Newton's Principia, Cambridge, England, 29 June–4 July 1987

    Google Scholar 

  47. C. Kiefer: Quantum cosmology. Expectations and results. Ann. Phys. 15, 316–325 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  48. J.B. Hartle and S.W. Hawking: Wave function of the universe. Phys. Rev. D 28, 2960–2975 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  49. A. Vilenkin: Quantum creation of universes. Phys. Rev. D 30, 509–511 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  50. A. Vilenkin: Creation of universes from nothing. Phys. Lett. B 117, 25 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  51. A. Vilenkin: The birth of inflationary universes. Phys. Rev. D 27, 2848 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  52. P.D. D'Eath: Supersymmetric Quantum Cosmology. Cambridge University Press, Cambridge, (1996) p. 252

    Book  MATH  Google Scholar 

  53. G. Esposito: Quantum gravity, quantum cosmology and Lorentzian geometries. Lect. Notes Phys. M 12, 1–326 (1992)

    MathSciNet  Google Scholar 

  54. A. Macias: The ideas behind the different approaches to quantum cosmology. Gen. Rel. Grav. 31, 653–671 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  55. A. Macias, O. Obregon, and M.P. Ryan: Quantum cosmology. The supersymmetric square root. Class. Quant. Grav. 4, 1477–1486 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  56. P.V. Moniz: A supersymmetric vista for quantum cosmology. Gen. Rel. Grav. 38, 577–592 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  57. P.V. Moniz: Supersymmetric quantum cosmology. Shaken not stirred. Int. J. Mod. Phys. A 11, 4321–4382 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  58. C. Kiefer, T. Luck, and P. Moniz: The semiclassical approximation to supersymmetric quantum gravity. Phys. Rev. D 72, 045006 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  59. P.V. Moniz: A tale of two symmetries, or the quantum universe from supersymmetry and duality. Nucl. Phys. Proc. Suppl. 88, 57–66 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  60. R. Tabensky and C. Teitelboim: The square root of general relativity. Phys. Lett. B 69, 453 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  61. C. Teitelboim: Supergravity and square roots of constraints. Phys. Rev. Lett. 38, 1106–1110 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  62. J.E. Lidsey: Scale factor duality and hidden supersymmetry in scalar–tensor cosmology. Phys. Rev. D 52, 5407–5411 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  63. D.Z. Freedman and P. Van Nieuwenhuizen: Supergravity and the unification of the laws of physics. Sci. Am. 238, 126–143 (1978)

    Article  ADS  Google Scholar 

  64. M. Pilati: The canonical formulation of supergravity. Nucl. Phys. B 132, 138 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  65. H. Luckock and C. Oliwa: Quantisation of Bianchi class A models in supergravity and the probability density function of the universe. Prepared for 7th Marcel Grossmann Meeting on General Relativity (MG 7), Stanford, CA, 24–30 July 1994

    Google Scholar 

  66. P.V. Moniz: Can the imprint of an early supersymmetric quantum cosmological epoch be present in our cosmological observations? Given at COSMO 97, 1st International Workshop on Particle Physics and the Early Universe, Ambleside, England, 15–19 September 1997

    Google Scholar 

  67. P.V. Moniz: Origin of structure in a supersymmetric quantum universe. Phys. Rev. D 57, 7071–7074 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  68. P. Moniz: FRW minisuperspace with local N = 4 supersymmetry and self-interacting scalar field. Ann. Phys. 12, 174–198 (2003)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Depto. Fisica, Universidade da Beira Interior, Rua Marquês d’Avila e, Bolama, 6200-307, Covilhã, Portugal

    Paulo Vargas Moniz

  2. CENTRA-IST, Lisboa, Portugal

    Paulo Vargas Moniz

Authors
  1. Paulo Vargas Moniz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paulo Vargas Moniz .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Moniz, P.V. (2010). Introduction. In: Quantum Cosmology - The Supersymmetric Perspective - Vol. 1. Lecture Notes in Physics, vol 803. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11575-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11575-2_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11574-5

  • Online ISBN: 978-3-642-11575-2

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation