Random Surfaces and Quantum Gravity

  • Orlando Alvarez
  • Enzo Marinari
  • Paul Windey

Part of the NATO ASI Series book series (NSSB, volume 262)

Table of contents

  1. Front Matter
    Pages i-viii
  2. 2D Gravity and Non Perturbative Effects

    1. C. Bachas
      Pages 11-19
    2. P. Di Francesco, D. Kutasov
      Pages 35-51
    3. Robbert Dijkgraaf, Herman Verlinde
      Pages 53-76
    4. Michael R. Douglas
      Pages 77-83
    5. C. Itzykson
      Pages 111-133
    6. I. K. Kostov
      Pages 135-149
    7. Gautam Mandal
      Pages 151-156
  3. D = 1 Strings and String Field Theory

  4. Liouville Theory and D > 1

  5. Back Matter
    Pages 397-407

About this book


The Cargese Workshop Random Surfaces and Quantum Gravity was held from May 27 to June 2, 1990. Little was known about string theory in the non-perturbative regime before Oetober 1989 when non-perturbative equations for the string partition functions were found by using methods based on the random triangulations of surfaees. This set of methods pro­ vides a deseription of non-eritical string theory or equivalently of the coupling of matter fields to quantum gravity in two dimensions. The Cargese meeting was very successful in that it provided the first opportunity to gather most of the active workers in the field for a fuH week of lectures and extensive informal discussions about these exeiting new developments. The main results were reviewed, recent advances were explained, new results and conjectures (which appear for the first time in these proceedings) were presented and discussed. Among the most important topics discussed at the workshop were: The relation of KdV theory to loop equations and the Virasoro algebra, new results in Liouville field theory, effective (1 + 1) dimensional theory for 2 - D quantum gravity coupled to c = 1 matter and its fermionization, proposal for a new geometrical interpretation of the string equation and possible definition of quantum Riemann surfaces, discussion of the string equation for the multi-matrix models, links with topological field theories of gravity, issues in using target space supersymmetry to define good theories, definition of the partition function via analytic continuation, new models of random surfaces


Gravity diffusion field theory quantization quantum gravity topology

Editors and affiliations

  • Orlando Alvarez
    • 1
  • Enzo Marinari
    • 2
  • Paul Windey
    • 3
  1. 1.University of CaliforniaBerkeleyUSA
  2. 2.Università di Roma II “Tor Vergata”RomeItaly
  3. 3.Université Pierre et Marie Curie (Paris VI)ParisFrance

Bibliographic information

  • DOI
  • Copyright Information Plenum Press, New York 1991
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6681-2
  • Online ISBN 978-1-4615-3772-4
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site