String Theory and Quantum Gravity ’92. Spring School Workshop.

422 Pages·1993·9.542 MB·English

by  Lengo, R., Narain, K.S, Randjbar-Daemi, S., Verlinde, H. (Princeton University USA)

INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS
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STRING THEORY AND
QUANTUM GRAVITY •g2
Proceedings of the Trieste Spring School & Workshop
ICTP, Trieste, Italy March 30- April10, 1992
Edited by
J. Harvey,
R. lengo
K. S. Narain
S. Randjbar-Daemi
H. Verlinde
World Scientific
STRING THEORY AND
QUANTUM GRAVITY •g2
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INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS
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STRING THEORY AND
QUANTUM GRAVITY •g2
Proceedings of the Trieste Spring School & Workshop
ICTP, Trieste, Italy March 30- April1 0, 1992
Edited by
J. HaNey
UniversityatChicaga
R. lengo
lcrp;s,ssA
K. S. Narain
1crp
S. Randjbar-Daemi
1crp
H. Verlinde
Princeton University
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World Scientific
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STRING THEORY AND QUANTUM GRAVITY
Copyright© 1993 by World Scientific Publishing Co. Pte. Ltd.
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v
Preface
As in the previous years, the 1992 Trieste Spring School included a wide
range of topics of current interest related to Quantum Gravity and String
Theory. Some interesting new developments had just taken place in the study
of quantum black holes, where two-dimensional string inspired models had
opened up a new way to penetrate into some of their secrets. A clear intro
duction into the subject, as well as an overview of the recent work, was given
in the lectures by J. Harvey and A. Strominger. Related topics were discussed
in lectures by H. Verlinde, who discussed gravitational scattering at planckian
energies, and G. Horowitz, who gave an exposition of the physical properties
higher dimensional black holes and black strings in string theory.
The miraculous world of N = 2 superconformal field theories was discussed
in lectures by S. Cecotti, J. Distler and P. Candelas. Among the subjects
covered in their lectures were, respectively, aspects related to topological field
theory, properties of N = 2 sigma models, and mirror symmetry of Calabi
Yau manifolds. S. Das and A. Dhar lectured about the remarkably powerful
application of the matrix model techniques to the study of string theory in
two dimensions, and A. Sen gave a clear overview of the current status and
developments in string field theory. As traditional, the School was followed by
a Workshop in which many other new developments received attention.
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vii
Contents
Preface v
Lectures:
Ising Model and N = 2 Supersymmetric Theories 1
S. Cecotti and C. Vafa
The Dark Side of String Theory: Black Holes and Black Strings 55
G. T. Horowitz
Some Recent Developments in Closed String Field Theory 100
A. Sen
Quantum Aspects of Black Holes 122
J. A. Harvey and A. Strominger
The One-Dimensional Matrix Model and String Theory 172
S. R. Das
Gravity and Gauge Theory at High Energies 212
H. Verlinde
=
Notes on N 2 lT-Models 234
J. Distler
Contributions:
The W Geometry of Chiral Surfaces in Complex Projective Spaces 257
J.-L. Gervais
On Physical States in 2d (Topological) Gravity 268
P. Bouwknegt, J. McCarthy and K. Pilch
Dynamics of the Conformal Factor in 4D Gravity 286
I. Antoniadis
Non-Relativistic Fermions, Coadjoint Orbits of W and
= 00
String Field Theory at c 1 302
A. Dhar, G. Mandai and S. R. Wadia
Simplicial Quantum Gravity 327
J. Ambj11rn, J. Jurkiewicz and C. F. Kristjansen
viii
Gravitational Scattering at Planckian Energies: The Eikonal
and Beyond 338
D. Amati
A Proposal for D > 1 Strings? 344
L. Alvarez-Gaume and J. L. F. BarbOn
Differential Equations in Special Kahler Geometry 368
J. Louis
=
N 2 First Order Systems: Landau-Ginzburg Potentials and
Topological Twist 390
P. Fre and P. Soriani
STRING THEORY AND
QUANTUM GRAVITY •g2