- ⚠️ Any material may be revised
*during*the course. **Fields v4**contains most of the lecture notes for the class.- Skim the
**background material**to see if you need it. (Some of it is unnecessary, but perhaps interesting elaboration.) - Brief summaries of each subsection are given in the
**Outline**@ the beginning of the book. - Major equations (especially notation & definitions) are collected in the
**AfterMath**@ the end. - See also additional notes for the
**Spinning string**.

- Skim the
**Assigned reading**is crucial.- It includes @ least 2 subsections ahead of lecture, including the
**homework problems**to be assigned. - Have a copy of the relevant parts available during class (preferably in digital form) for following, annotation, & flipping back to earlier relevant pages.
- If you miss or are late to class, you are responsible for any material you missed: See me in private or ask fellow students.

- It includes @ least 2 subsections ahead of lecture, including the
**Prepare questions**in advance for class.- Find points that were unclear to you in the assigned reading (including background material & homework). The book
*Fields*is my lecture notes, so just listening to me lecture without questions, as a repeat of what you've already read, probably won't be helpful. Lectures aren't YouTube videos. - Prepared annotation of this book & supplementary notes is useful for asking questions @ the appropriate points, in case confusion hasn't already been cleared up by then.

- Find points that were unclear to you in the assigned reading (including background material & homework). The book
**Homework**is essential.- It tests whether you understand the lecture.
- If you can't do the homework, you probably won't do well on the exams.
- It's due 1 week after reached in lecture, by the beginning of class.
- Late homework is not accepted.
**There will be some discussion of the homework in class**, @ the beginning of the lecture when it's returned. More hints will be given for problems students had difficulties with, but not all the algebra will be worked out. You are encouraged to give a second try on problems you failed to complete, for your own edification (not for turning in).

particle | in subsections | background material & homework |
---|---|---|

constrained systems | IA1 (symmetry) | |

- action
- constraint algebra
- gauge field & transformations
- example: e&m
| IIIA5 | |

particle action | IA4 (τ vs. s), IIIA2 (fermions) | |

- Hamiltonian
- einbein
- Lagrangian
| IIIB1 | IIIB1.3 (due 10/5) |

gauges | IIIC2, IIB3, IXB3 (lightcone gauge) | |

- covariant (affine)
- lightcone (unitary)
| IIIB2 | IIIB2.1 (due 10/7) |

background | ||

- fields
- gauge transformations
| IIIB3 | IIIB3.2 (due 10/7) |

bosonic string | ||

action | IXA7 (Weyl scale) | |

- Lagrangian
- induced metric
- Hamiltonian
- boundary conditions
| XIA3 | XIA3.1,2 (due 10/9) |

T-duality | IVA7, IXA5 (⟨g⟩→κ) | |

- background
- duality
- symmetry
| XIA5 | XIA5.1 (due 10/12) |

gauges | IB3 (determinants) | |

- conformal
- lightcone
- boundaries
- mass & spin
| XIB1 | XIB1.3 (due 10/14) |

quantization (lightcone) | IIB3-4 (little groups) | |

- oscillators
- states
- leading trajectory
| XIB2 | XIB2.1 (due 10/16) |

spinning string | ||

action | VIIB5 (2D spinors & Euclidean) | |

- constraint algebra
- Hamiltonian
- Lagrangian
| notes | |

quantization | IIA5 (spinor CPT) | |

- gauges
- R & NS strings
- mass & spin
- GSO projection
| notes | "Exercise" (due 10/19) |

BRST | IIC3 (graded indices) | |

- nonAbelian
- algebra
- cohomology
- gauge fixing
- strings
| VIA1 notes | VIA1.2 (due 10/23) |

string types | VC9 & IA5 (particle) | |

- Chan-Paton
- worldsheet P & CT
- supersymmetry
| XIA4 | VC9.1 (due 10/28) |

superstring | ||

supersymmetry | ||

- algebra
- positivity
- massless
| IIC1 | |

superspace | ||

- coordinates
- covariant derivatives
| IIC2 | |

superparticle | ||

- Hamiltonian
- constraints
- lightcone gauge
| IIIB6 | IIIB6.1 (due 10/30) |

superstring | ||

- currents
- action
- lightcone gauge
| XIA9 | |

more particle | ||

conservation | ||

- currents
- gauge fields
- particles
| IIIB4 | |

pair creation | ||

- action
- solution
- interpretation
| IIIB5 |