Title
Copyright
Preface
Contents
Banquet Speech Honoring Prof. Keiji Kikkawa on his 60th Birthday
Introductory Remarks
Bunji Sakita
Antal Jevicki
Spenta Wadia
Lars Brink
Kazuo Fujikawa
Satoshi Matsuda
Part I: String Duality
M Theory Extensions of T Duality
1 Introduction
2 BPS --
Saturated p-Branes
3 M/IIB Duality
4 M/SO(32) Duality
5 Conclusion
U-Duality and Intersecting D-Branes
Duality and 4D String Dynamics
1 Introduction
2 N=2 Gauge Theory and String Compactifications
3 N=2 String-String Duality
4 N=1 Duality and Gaugino Condensation
Acknowledgements. 2 Dynamical Superalgebra and p-Branes3 Duality Groups
4 U-Duality and Non-Perturbative States
5 U-Duality and 11D
5.1 Perturbative and non-perturbative states
5.2 Dualities and non-perturbative spectrum
5.3 An example
6 Final Remarks
7 References
String Solitons and Singularities of K3
Acknowledgements
References
Collective Coordinate Quantization of Dirichlet Branes
1 Introduction
2 D-Brane and Collective Coordinates
3 Combinatorics of Perturbative Dirichlet String Theory
4 Semi-Classical Wave Function of D-Branes
5 D-Brane Eequation of Motion and Renormalization Group Flow. 6 Quantum Aspects of Macroscopically Charged D-BraneAcknowledgments
GKZ Hypergeometric Systems and Applications to Mirror Symmetry
1 Introduction
2 Mirror Symmetry and Quantum Cohomology Ring
3 Gauss-Manin System and Flat Coordinates
4 GKZ Hypergeometric System and the Flat Coordinate
4.1 Intersection ring
4.2 GKZ hypergeometric system
5 Summary
References
How Unstable are Fundamental Quantum Supermembernes?
1 Quantum Supermembranes
2 Zero Point Energy
3 Fermionic Variables
4 Wave Function
5 Discussion
Acknowledgments
References. Part II: Two Dimensional Strings and General RelativityR2 2D Quantum Gravity and Dually Weighted Graphs
1 Introduction
2 A Solvable Model of R2 2D Gravity
3 Sketch of Solution
3.1 The Itzykson-DiFrancesco formula for the DWG-model
3.2 The saddle point equation for the most probable representation in the planar limit
3.3 Calculation of characters in the large N limit
3.4 Solution of the lattice model of 2D R2 gravity
4 Physical Results and Conclusions
New Loop Equations in Ising Model Coupled to 2D Gravity and String Field Theory
1 Introduction.