Frontiers in Quantum Field Theory : Osaka University, Osaka, Japan, 14-17 December, 1995

"Frontiers in Quantum Field Theory is published in honor of Prof Keiji Kikkawa's 60th birthday. It deals with modern quantum field theory in the context of several exciting recent developments, many of them inspired or influenced by Prof Kikkawa's work, which include dualities in string theory and field theory, matrix models and noncritical strings, lower dimensional quantum gravity, topological and superconformal field theory."--Publisher's website 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. Deals with modern quantum field theory in the context of recent developments, many of them inspired or influenced by Prof Keiji Kikkawa's work, which include dualities in string theory and field theory, matrix models and noncritical strings, and lower dimensional quantum gravity.