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M-Theory and Quantum Geometry

The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantization of geometrical objects. The majority of lectures at the Advanced Study Institute on Quantum Ge­ ome...

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Bibliographic Details
Other Authors: Thorlacius, Lárus (Editor), Jonsson, Thordur (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2000, 2000
Edition:1st ed. 2000
Series:Nato Science Series C:, Mathematical and Physical Sciences
Subjects:
Nuclear Physics
Quantum Field Theory
Elementary Particles (physics)
Elementary Particles, Quantum Field Theory
Applications Of Mathematics
Mathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 D Branes in String Theory, I
  • 1 Introduction
  • 2 Perturbative String Theory
  • 3 Conformal Field Theory Formulation
  • 4 T-Duality
  • 5 Classical Solutions of The Low-Energy String Effective Action
  • 6 Bosonic Boundary State
  • 7 Fermionic Boundary State
  • 8 Classical Solutions From Boundary State
  • 9 Interaction Between a p and a p’ Brane
  • 2 Moduli Spaces of Calabi-Yau Compactifications
  • 1 Introduction
  • 2 A short story about string theory, F-theory and M-theory
  • 3 The q = 16 triplet
  • 4 The q = 8 triplets
  • A Calabi-Yau manifolds
  • 3 The M(Atrix) Model of M-Theory
  • 1 Introduction
  • 2 Matrix theory from the quantized supermembrane
  • 3 The BFSS conjecture
  • 4 M-theory objects from matrix theory
  • 5 Interactions in matrix theory
  • 6 Matrix theory in a general background
  • 7 Outlook
  • 4 The Holographic Principle
  • 1 Black Hole Complementarity
  • 2 Entropy Bounds
  • 3 The AdS/CFT Correspondence and the Holographic Principle
  • 4 The Flat Space Limit
  • 5 Born-Infeld Actions and D-Brane Physics
  • 1 D-Brane Solitons and the Born-Infeld Action
  • 2 Born-Infeld Dynamics of Branes in Flat Space
  • 3 Branes in Curved Space and the Gauge Theory Connection
  • 4 Born-Infeld Analysis of the Baryon Vertex
  • 5 Applications of the AdS/CFT Correspondence
  • 6 Summary
  • 6 Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces
  • 1 Introduction
  • 2 A Simple Example of Conformal Quantum Mechanics
  • 3 Conformally Invariant N-Particle Quantum Mechanics
  • 4 Superconformal Quantum Mechanics
  • 5 The Quantum Mechanics of a Test Particle in a Reissner-Nordström Background
  • 6 Quantum Mechanics on the Black Hole Moduli Space
  • 7 Discussion
  • A Differential Geometry with Torsion
  • 7 Large-N Gauge Theories
  • 1 Introduction
  • 2 0(N) Vector Models
  • 3 Large-N QCD
  • 4 QCD in LoopSpace
  • 5 Large-N Reduction
  • 8 Introduction to Random Surfaces
  • 1 Introduction
  • 2 Random paths
  • 3 Branched polymers
  • 4 Dynamicaly triangulated surfaces
  • 5 Lattice surfaces
  • 6 Conclusion
  • 9 Lorentzian and Euclidean Quantum Gravity ¡ª Analytical and Numerical Results
  • 1 Introduction
  • 2 Lorentzian gravity in 2d
  • 3 Topology changes and Euclidean quantum gravity
  • 4 Euclidean quantum gravity
  • 5 Numerical setup
  • 6 Dynamically triangulated quantum gravity in d > 2
  • 7 Outlook

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