Foreword |
Preface |
Notation |
A first look at strings / 1: |
Why strings? / 1.1: |
Action principles / 1.2: |
The open string spectrum / 1.3: |
Closed and unoriented strings / 1.4: |
Exercises |
Conformal field theory / 2: |
Massless scalars in two dimensions / 2.1: |
The operator product expansion / 2.2: |
Ward identities and Noether's theorem / 2.3: |
Conformal invariance / 2.4: |
Free CFTs / 2.5: |
The Virasoro algebra / 2.6: |
Mode expansions / 2.7: |
Vertex operators / 2.8: |
More on states and operators / 2.9: |
The Polyakov path integral / 3: |
Sums over world-sheets / 3.1: |
Gauge fixing / 3.2: |
The Weyl anomaly / 3.4: |
Scattering amplitudes / 3.5: |
Strings in curved spacetime / 3.6: |
The string spectrum / 4: |
Old covariant quantization / 4.1: |
BRST quantization / 4.2: |
BRST quantization of the string / 4.3: |
The no-ghost theorem / 4.4: |
The string S-matrix / 5: |
The circle and the torus / 5.1: |
Moduli and Riemann surfaces / 5.2: |
The measure for moduli / 5.3: |
More about the measure / 5.4: |
Exercise |
Tree-level amplitudes / 6: |
Riemann surfaces / 6.1: |
Scalar expectation values / 6.2: |
The bc CFT / 6.3: |
The Veneziano amplitude / 6.4: |
Chan-Paton factors and gauge interactions / 6.5: |
Closed string tree amplitudes / 6.6: |
General results / 6.7: |
One-loop amplitudes / 7: |
CFT on the torus / 7.1: |
The torus amplitude / 7.3: |
Open and unoriented one-loop graphs / 7.4: |
Toroidal compactification and T-duality / 8: |
Toroidal compactification in field theory / 8.1: |
Toroidal compactification in CFT / 8.2: |
Closed strings and T-duality / 8.3: |
Compactification of several dimensions / 8.4: |
Orbifolds / 8.5: |
Open strings / 8.6: |
D-branes / 8.7: |
T-duality of unoriented theories / 8.8: |
Higher order amplitudes / 9: |
General tree-level amplitudes / 9.1: |
Higer genus Riemann surfaces / 9.2: |
Sewing and cutting world-sheets / 9.3: |
Sewing and cutting CFTs / 9.4: |
General amplitudes / 9.5: |
String field theory / 9.6: |
Large order behavior / 9.7: |
High energy and high temperature / 9.8: |
Low dimensions and noncritical strings / 9.9: |
A short course on path integrals / Appendix A: |
Bosonic fields / A.1: |
Fermionic fields / A.2: |
References |
Glossary |
Index |
Foreword |
Preface |
Notation |
A first look at strings / 1: |
Why strings? / 1.1: |
Action principles / 1.2: |