M-theory and quantum geometry

>> Google Books

所蔵情報QRコード

M-theory and quantum geometry / edited by Lárus Thorlacius and Thordur Jonsson

資料種別:

図書

出版情報:

Dordrecht : Kluwer Academic Publishers, c2000

形態:

xviii, 454 p. ; 25 cm

シリーズ名:

NATO science series ; Ser. C . Mathematical and physical sciences ; v. 556 <BA40559140>

著者名:

ISBN:

9780792364740 [0792364740] (: hbk)
9780792364757 [0792364759] (: pbk)

書誌ID:

BA48733194

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

"Proceedings of the NATO Advanced Study Institute on Quantum Geometry, Akureyri, Iceland, August 9-20, 1999"--T.p. verso
Includes bibliographical references and index

主題:

Geometric quantization--Congresses; Quantum field theory--Congresses; Superstring theories--Congresses

言語:

英語

目次情報:

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

Perturbative String Theory / 2：

Conformal Field Theory Formulation / 3：

T-Duality / 4：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Geometry and quantum field theory Freed, Daniel S, Uhlenbeck, Karen K, American Mathematical Society, Institute for Advanced Study (Princeton, N.J.), … American Mathematical Society : Institute for Advanced Study	7 図書 Low-dimensional applications of Quantum field theory Baulieu, Laurent, North Atlantic Treaty Organization. Scientific Affairs Division, NATO Advanced Study Institute on … Plenum Press
2 図書 Nonperturbative quantum field theory NATO Advanced Study Institute on Nonperturbative Quantum Field Theory, Hooft, G. 't, North Atlantic Treaty Organization. … Plenum Press	8 図書 Superstrings, unified theories and cosmology 1988 : Trieste, Italy, 27 June--5 August 1988 (: pbk.) Ellis, G., Summer Workshop in High Energy Physics and Cosmology World Scientific
3 図書 Symétries quantiques : Les Houches, session LXIV, 1 août - 8 septembre 1995 = Quantum symmetries Connes, Alain, 1947-, Gawędzki, K., Zinn-Justin, Jean, NATO Advanced Study Institute, École d'été de physique théorique Elsevier Science	9 図書 Superstrings, unified theories and cosmology : proceedings of the Summer Workshop in High Energy Physics and Cosmology, Trieste, Italy 30 June - 15 August 1986 (: hard) Summer Workshop in High Energy Physics and Cosmology, Furlan, G. (Giuseppe), 1935- World Scientific
4 図書 Renormalization and invariance in quantum field theory : [lectures] NATO Advanced Study Institute, Caianiello, Eduardo R., 1921- Plenum Press	10 図書 Superstrings, supergravity, and unified theories : proceedings of the Summer Workshop in High Energy Physics and Cosmology, 10 June-19 July 1985, Trieste, Italy (: hard ; : pbk) Summer Workshop in High Energy Physics and Cosmology, Furlan, G. (Giuseppe), 1935- World Scientific
5 図書 Constructive quantum field theory II NATO Advanced Study Institute on Constructive Quantum Field Theory, Velo, G. P. (Giampaolo P.), Wightman, A. S., 1922- Plenum Press	11 図書 Superstrings, unified theories and cosmology 1987 : proceedings of the Summer Workshop in High Energy Physics and Cosmology, Trieste, Italy, 29 June--7 August … (: pbk.) Summer Workshop in High Energy Physics and Cosmology, Furlan, G. (Giuseppe), 1935- World Scientific
6 図書 Advances in topological quantum field theory (: hb ; : e-book ; : pb) NATO Advanced Research Workshop on New Techniques in Topological Quantum Field Theory (2001 : Kananaskis Village, … Kluwer Academic Publishers	12 図書 Integrable quantum field theories Bonora, L., North Atlantic Treaty Organization. Scientific Affairs Division, NATO Advanced Research Workshop on … Plenum Press