arXiv:hep-th/0107094 v1 11 Jul 2001
INTRODUCTION to STRING FIELD THEORY Warren Siegel University of Maryland College Park, Maryland
Present address: State University of New York, Stony Brook mailto:
[email protected] http://insti.physics.sunysb.edu/˜siegel/plan.html
CONTENTS Preface 1. Introduction 1.1. Motivation 1 1.2. Known models (interacting) 3 1.3. Aspects 4 1.4. Outline 6 2. General light cone 2.1. Actions 8 2.2. Conformal algebra 10 2.3. Poincar´e algebra 13 2.4. Interactions 16 2.5. Graphs 19 2.6. Covariantized light cone 20 Exercises 23 3. General BRST 3.1. Gauge invariance and constraints 25 3.2. IGL(1) 29 3.3. OSp(1,1|2) 35 3.4. From the light cone 38 3.5. Fermions 45 3.6. More dimensions 46 Exercises 51 4. General gauge theories 4.1. OSp(1,1|2) 52 4.2. IGL(1) 62 4.3. Extra modes 67 4.4. Gauge fixing 68 4.5. Fermions 75 Exercises 79 5. Particle 5.1. Bosonic 81 5.2. BRST 84 5.3. Spinning 86 5.4. Supersymmetric 95 5.5. SuperBRST 110 Exercises 118
6. Classical mechanics 6.1. Gauge covariant 6.2. Conformal gauge 6.3. Light cone Exercises 7. Light-cone quantum mechanics 7.1. Bosonic 7.2. Spinning 7.3. Supersymmetric Exercises 8. BRST quantum mechanics 8.1. IGL(1) 8.2. OSp(1,1|2) 8.3. Lorentz gauge Exercises 9. Graphs 9.1. External fields 9.2. Trees 9.3. Loops Exercises 10. Light-cone field theory Exercises 11. BRST field theory 11.1. Closed strings 11.2. Componen