Preface |
D Branes in String Theory, I / P. Di Vecchia ; A. Liccardo1: |
Introduction |
Perturbative String Theory / 2: |
Conformal Field Theory Formulation / 3: |
T-Duality / 4: |
Classical Solutions Of The Low-Energy String Effective Action / 5: |
Bosonic Boundary State / 6: |
Fermionic Boundary State / 7: |
Classical Solutions From Boundary State / 8: |
Interaction Between a p and a p' Brane / 9: |
Moduli Spaces of Calabi-Yau Compactifications / J. Louis |
A short story about string theory, F-theory and M-theory |
String Theory / 2.1: |
Calabi-Yau compactifications / 2.2: |
String Dualities / 2.3: |
F-Theory / 2.4: |
M-Theory / 2.5: |
Three Triplets of Dualities / 2.6: |
The q = 16 triplet |
The q = 8 triplets |
Calabi-Yau manifolds / A: |
The M(atrix) Model of M-Theory / W. Taylor |
Matrix theory from the quantized supermembrane |
Review of light-front string |
The bosonic membrane theory |
The light-front bosonic membrane |
Matrix regularization |
The bosonic membrane in a general background |
The supermembrane |
Covariant membrane quantization / 2.7: |
The BFSS conjecture |
Membrane "instability" / 3.1: |
M-theory / 3.2: |
Matrix theory as a second quantized theory / 3.3: |
Matrix theory and DLCQ M-theory / 3.5: |
M-theory objects from matrix theory |
Supergravitons / 4.1: |
Membranes / 4.2: |
5-branes / 4.3: |
Extended objects from matrices / 4.4: |
Interactions in matrix theory |
Two-body interactions / 5.1: |
The N-body problem / 5.2: |
Longitudinal momentum transfer / 5.3: |
Matrix theory in a general background |
T-duality / 6.1: |
Matrix theory on tori / 6.2: |
Matrix theory in curved backgrounds / 6.3: |
Outlook |
The Holographic Principle / D. Bigatti ; L. Susskind |
Black Hole Complementarity |
The Schwarzschild Black Hole / 1.1: |
Penrose Diagrams / 1.2: |
Black Hole Thermodynamics / 1.3: |
The Thermal Atmosphere / 1.4: |
The Quantum Xerox Principle / 1.5: |
Information Retention Time / 1.6: |
Quantum Xerox Censorship / 1.7: |
Baryon Violation and Black Hole Horizons / 1.8: |
String Theory at High Frequency / 1.9: |
The Space Time Uncertainty Relation / 1.10: |
Entropy Bounds |
Maximum Entropy |
Entropy on Light-Like Surfaces |
Robertson Walker Geometry |
Bousso's Generalization |
The AdS/CFT Correspondence and the Holographic Principle |
AdS Space |
Holography in AdS Space |
The AdS/CFT Correspondence |
The Infrared Ultraviolet Connection |
Counting Degrees of Freedom |
AdS Black Holes / 3.6: |
The Horizon / 3.7: |
The Flat Space Limit |
High Energy Gravitons Deep in the Bulk |
Kaluza Klein Modes |
Born-Infeld Actions and D-Brane Physics / C.G. Callan |
D-Brane Solitons and the Born-Infeld Action |
Born-Infeld Dynamics of Branes in Flat Space |
Branes in Curved Space and the Gauge Theory Connection |
Born-Infeld Analysis of the Baryon Vertex |
Applications of the AdS/CFT Correspondence |
Summary |
Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces / R. Britto-Pacumio ; J. Michelson ; A. Strominger ; A. Volovich |
A Simple Example of Conformal Quantum Mechanics |
Conformally Invariant N-Particle Quantum Mechanics |
Superconformal Quantum Mechanics |
A Brief Diversion on Supergroups |
Quantum Mechanical Supermultiplets |
Osp(1|2)-Invariant Quantum Mechanics |
D(2, 1; [alpha])-Invariant Quantum Mechanics |
The Quantum Mechanics of a Test Particle in a Reissner-Nordstrom Background |
Quantum Mechanics on the Black Hole Moduli Space |
The black hole moduli space metric |
The Near-Horizon Limit |
Conformal Symmetry |
Discussion |
Differential Geometry with Torsion |
Large-N Gauge Theories / Y. Makeenko |
O(N) Vector Models |
Four-Fermi Interaction |
Bubble graphs as zeroth order in 1/N |
Scale and Conformal Invariance of Four-Fermi Theory |
Nonlinear sigma model |
Large-N factorization in vector models |
Large-N QCD |
Index or ribbon graphs |
Planar and non-planar graphs |
Topological expansion and quark loops |
Large-N[subscript c] factorization |
The master field |
1/N[subscript c] as semiclassical expansion |
QCD in Loop Space |
Observables in terms of Wilson loops |
Schwinger-Dyson equations for Wilson loop |
Path and area derivatives |
Loop equations |
Relation to planar diagrams / 4.5: |
Loop-space Laplacian and regularization / 4.6: |
Survey of non-perturbative solutions / 4.7: |
Wilson loops in QCD[subscript 2] / 4.8: |
Large-N Reduction |
Reduction of scalar field |
Reduction of Yang-Mills field |
R[superscript d]-symmetry in perturbation theory |
Twisted reduced model / 5.4: |
Introduction to Random Surfaces / T. Jonsson |
Random paths |
Lattice paths |
Dynamically triangulated paths |
Branched polymers |
Extrinsic properties |
Intrinsic properties |
Dynamicaly triangulated surfaces |
Definitions |
Basic properties |
The string tension |
Further results |
Lattice surfaces |
Critical behaviour |
Conclusion |
Lorentzian and Euclidean Quantum Gravity--Analytical and Numerical Results / J. Ambjorn ; J. Jurkiewicz ; R. Loll |
Lorentzian gravity in 2d |
The discrete model |
The continuum limit |
Topology changes and Euclidean quantum gravity |
Baby universe creation |
The fractal dimension of Euclidean 2d gravity |
Euclidean quantum gravity |
Some generalities |
Dynamical triangulations |
The functional integral |
Inclusion of matter fields |
Numerical setup |
Monte Carlo method and ergodic moves |
Observables in 2d Euclidean gravity |
Comments on the 2d results |
Dynamically triangulated quantum gravity in d ] 2 |
Generalization to higher dimensions |
Numerical results in higher dimensions |
Index |
Preface |
D Branes in String Theory, I / P. Di Vecchia ; A. Liccardo1: |
Introduction |