Basic Concepts of String Theory

Transkript

1 Theoretical and Mathematical Physics Basic Concepts of String Theory Bearbeitet von Ralph Blumenhagen, Dieter Lüst, Stefan Theisen 1. Auflage Buch. xii, 784 S. Hardcover ISBN Format (B x L): 15,5 x 23,5 cm Gewicht: 1352 g Weitere Fachgebiete > Physik, Astronomie > Physik Allgemein > Theoretische Physik, Mathematische Physik schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, ebooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte.

2 1 Introduction The Classical Bosonic String The Relativistic Particle The Nambu-Goto Action The Polyakov Action and Its Symmetries Oscillator Expansions Examples of Classical String Solutions The Quantized Bosonic String Canonical Quantization of the Bosonic String Light-Cone Quantization of the Bosonic String Spectrum of the Bosonic String Covariant Path Integral Quantization Appendix: The Virasoro Algebra Introduction to Conformal Field Theory General Introduction Application to Closed String Theory Boundary Conformal Field Theory Free Boson Boundary States Crosscap States for the Free Boson Parametrization Ghosts and BRST Quantization The Ghost System as a Conformal Field Theory BRST Quantization String Perturbation Theory and One-Loop Amplitudes String Perturbation Expansion The Polyakov Path Integral for the Closed Bosonic String The Torus Partition Function Torus Partition Functions for Rational CFTs The Cylinder Partition Function ix

3 x 6.6 Boundary States and Cylinder Amplitude for RCFTs Crosscap States, Klein Bottle and Möbius Strip Amplitudes Appendix: D-brane Tension The Classical Fermionic String Motivation for the Fermionic String Superstring Action and Its Symmetries Superconformal Gauge Oscillator Expansions Appendix: Spinor Algebra in Two Dimensions The Quantized Fermionic String Canonical Quantization Light-Cone Quantization Spectrum of the Fermionic String, GSO Projection Path Integral Quantization Appendix: Dirac Matrices and Spinors in d Dimensions Superstrings Spin Structures and Superstring Partition Function Boundary States for Fermions D-branes The Type I String Stable Non-BPS Branes Appendix: Theta-Functions and Twisted Fermionic Partition Functions Toroidal Compactifications: 10-Dimensional Heterotic String Motivation Toroidal Compactification of the Closed Bosonic String Toroidal Partition Functions The E 8 E 8 and SO.32/ Heterotic String Theories Toroidal Orbifolds D-branes on Toroidal Compactifications Conformal Field Theory II: Lattices and Kač-Moody Algebras Kač-Moody Algebras Lattices and Lie Algebras Frenkel-Kač-Segal Construction Fermionic Construction of the Current Algebra: Bosonization Unitary Representations and Characters of Kač-Moody Algebras Highest Weight Representations of bsu.2/ k Conformal Field Theory III: Superconformal Field Theory N D 1 Superconformal Symmetry N D 2 Superconformal Symmetry Chiral Ring and Topological Conformal Field Theory

4 xi 13 Covariant Vertex Operators, BRST and Covariant Lattices Bosonization and First Order Systems Covariant Vertex Operators, BRST and Picture Changing D-branes and Space-Time Supersymmetry The Covariant Lattice Heterotic Strings in Covariant Lattice Description String Compactifications Conformal Invariance and Space-Time Geometry T-Duality and Buscher Rules Compactification Mathematical Preliminaries Calabi-Yau Manifolds Compactification of the Type II String on CY Threefolds Compactification of the Heterotic String on CY Threefolds Appendix: Some Riemannian Geometry, Hodge Duals, etc CFTs for Type II and Heterotic String Vacua Motivation Supersymmetric Orbifold Compactifications Orientifold Compactifications World-Sheet Aspects of Supersymmetric Compactifications Gepner Models Four-Dimensional Heterotic Strings via Covariant Lattices String Scattering Amplitudes and Low Energy Effective Field Theory Generalities String Scattering Amplitudes From Amplitudes to the Low Energy Effective Field Theory Effective Supergravities in Ten and Eleven Dimensions Effective Action for D-branes Appendix: Integrals in Veneziano and Virasoro-Shapiro Amplitudes Compactifications of the Type II Superstring with D-branes and Fluxes Brane Worlds and Fluxes Supersymmetry, Tadpoles and Massless Spectra Flux Compactifications Fluxes and SU(3) Structure Group Appendix String Dualities and M-Theory General Remarks Simple Examples: Modular Invariance and T-Duality Extended Objects: Some Generalities

5 xii 18.4 Central Charges and BPS Bound Brane Solutions in Supergravity Non-perturbative Dualities M-Theory F-Theory AdS/CFT Correspondence Index