Progress in String Theory and M-Theory

416 Pages·2001·13.496 MB·English

by  Constantin Bachas (auth.), Laurent Baulieu, Michael Green, Marco Picco, Paul Windey (eds.)

Progress in String Theory and M-Theory
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Series C: Mathematical and Physical Sciences -Vol.564
Progress in String Theory
and M-Theory
edited by
Laurent Baulieu
CNRS and Universite Pierre & Marie Curie (Paris VI),
Paris, France
Michael Green
DAMTP, University of Cambridge,
Cambridge, Great Britain
Marco Picco
CNRS and Universite Pierre & Marie Curie (Paris VI),
Paris, France
and
Paul Windey
Universite Pierre & Marie Curie (Paris VI),
Paris, France
Springer-Science+Business Media, B.V.
Proceedings of the NATO Advanced Study Institute on
Progress in String Theory and M-Theory
Cargese, France
May 24-June 5,1999
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-0-7923-7034-5 ISBN 978-94-010-0852-5 (eBook)
DOI 10.1007/978-94-010-0852-5
Printed on acid-free paper
All Rights Reserved
©2001 Springer Science+Business Media Dordrecht
Originally published by Kluwer Academic Publishers in 2001
Softcover reprint of the hardcover 1st edition 2001
No part of the material protected by this copyright notice may be reproduced or utilized in
any form or by any means, electronic or mechanical, including photocopying, recording
or by any information storage and retrieval system, without written permission from the
copyright owner.
TABLE OF CONTENTS
Preface ix
Lectures
Scales of String/M Theory
Constantin Bachas
1. Introduction
2. Supersymmetric Unification
3. Weakly Coupled Heterotic String
4. Brane World and Type-l Theory
5. Experimental Bounds
6. The Transverse Desert
7. The Puzzle of Unification
On the HeteroticJF -Theory Duality in Eight Dimensions 15
Wolfgang Lerche
1. Introduction
2. BPS Saturated, exact Heterotic Amplitudes at One-Loop Order
3. Review of F-Theory
4. Geometric Determination of the Threshold Couplings
5. Solution via the Mirror Map
6. Conclusion
Large N Field Theories, String Theory and Gravity 47
Juan Maldacena
1. General Introduction
2. The Correspondence
3. Tests of the ADS/CFT Correspondence
4. Correlation Functions
5. Wilson Loops
6. Theories at Finite Temperature
Black Holes and the Phases of Brane Thermodynamics 117
Emil J. Martinec
1. Introduction
2. Branes and Black Holes
3. DP-Brane Examples
4. The DI-D5 System and Phases of 'Little String' Theory
5. Concluding Remarks
vi
Non-BPS-D-Brane Systems 147
John H Schwarz
1. Introduction
2. Review of Basics
3. D-Brane Anti-D-Brane Systems
4. K-Theory Classification ofD-Branes
5. Moduli Spaces of Theories with 16 Supercharges
6. Non-BPS D-Branes in Type I
7. Concluding Remarks
Non-BPS States and Branes in String Theory 187
Ashoke Sen
1. Introduction
2. Unstable Non-BPS D-Branes in Type II String Theories
3. Stable Non-BPS D-Branes on Type II Orbifolds and Orientifolds
4. D-Branes as Tachyonic Kink Solutions
5. Stable Non-BPS Branes on the D-Brane - Orientifold Plane System
6. Some Related Developments
Appendix: Conformal Field Theory of the Tachyonic Kink Solution
Lectures on Superconformal Quantum Mechanics
and Multi-Black Hole Moduli Spaces 235
Ruth Britto-Pacumio, Jeremy Michelson, Andrew Strominger, Anastasia Volovich
1. A Simple Example of Conformal Quantum Mechanics
2. Conformally .Invariant N-Particle Quantum Mechanics
3. Superconformal Quantum Mechanics
4. The Quantum Mechanics of a Test Particle in a Reissner-Nordstrom Background
5. Quantum Mechanics on the Black Hole Moduli Space
6. Discussion
Appendix: Differential Geometry with Torsion
Brane Theory Solitons 265
Paul K. Townsend
1. Preamble
2. Field Theory VS Brane Theory
3. Sigma-Model Solitons on Branes
4. Solitons and Kahler Calibrations
5. Beyond Field Theory
6. The Brane World
Gong Show
D-Branestrahlung 299
Mohab Abou-Zeid and Miguel S. Costa
Strings on BTZ Black Holes 305
Riccardo Argurio
vii
A Note on non-supersymmetric Open-String Orbifolds with a quantised Bab 309
Carlo Angelantonj
On the Non-Abelian Born-Infeld Action 313
Pascal Bain
AdS asymptotic (super)Symmetries 319
3
Karin Bautier
Anomalous couplings of Non-BPS D-Branes 323
Marco Bill6, Ben Craps and Frederik Roose
From a Conformal Anomaly to a Theory of Tensionless Strings? 327
Richard A. Corrado
Comments on non-supersymmetric type I vacua 331
Kristin Forger
S-Matrices for Planckian Scattering 335
Sebastian de Haro
K-Theory and D-Branes on NON-Commutative Tori 339
Sergei Gukov
Generalized Calibrations 343
Jan Gutowski
Aspects of HeteroticIM -Theory Duality in D=3 347
Michael Haack and Jan Louis
Gauge Theory scattering from the ADS/CFT correspondence 353
Romuald A. Janik
Flat Connections for Yang-Mills Theories on the 3-Torus 357
Arjan Keurentjes
From Topological Field Theories to Covariant Matrix Strings 361
Laurent Baulieu, Celine Laroche and Nikita Nekrasov
Field Theory Duals from (Non)-Crital Type 0 Strings 367
Daro Martelli
Duality and Selfduality of Chiral Boson Fields in various Dimensions 373
Alexey Maznytsia, Christian R. Preitschopf, Dmitri Sorokin
Anti-de Sitter Fragmentation 379
Jeremy Michelson
On ADS3 String Theory 383
P. Marios Petropoulos
viii
Spectrum of D= 11 Supergravity on ADS2 x S2 X T7 389
Sangmin Lee
Discrete U-duality groups 393
Germar Schroder
Supersymmetric Worldvolume Solitons 397
loanSim6n
WZ Couplings of D-Branes and O-Planes 401
Bogdan Stefanski,Jr.
Holography for Coset Spaces 405
Anastasia Volovich
Appendix 409
List of Speakers 411
List of Participants 413
Preface
The Cargese Summer School" Progress in String Theory and M-Theory" was
held from May 24th till June 5th 1999.
This session focused on an exciting domain that has brought many revolution
ary ideas about the structure of space and matter, and that will, hopefully, provide
progress in our quest of unifying gravity and quantum mechanics.
The school featured detailed lectures, topical seminars and a very successful
"Gong Show" were participants made concise presentation of their current re
search.
Some contributions constitute a very thorough introduction to their subject
and we hope them to be helpful to advanced students in the field while others
address a more specialized audience.
We are greatly indebted to the NATO Division for Scientific Affairs for funding
and for their constant attention to our meeting and to the European Commission
for a Summer School Grant ERBFMMACT970188. It is also a pleasure to thank
all the people who contributed to the successful organization of the school, in
particular the staff of the Cargese Institute and its director Elisabeth Dubois
Violette.
Finally, we would like to thank all participants for creating an excellent atmo
sphere and especially the contributors of this volume for writing wonderful sets of
lectures.
Laurent Baulieu
Michael Green
Marco Picco
Paul Windey
ix
Part I
Lectures