| Topology | in subsections | background material & homework |
| graph topology | |
| VC2 (last ⅕) | |
| group theory via graphs | IB1 (matrices), IC4 (color & flavor) |
- index lines
- Feynman graphs
| VC9 | VC9.1 (due 10/28) |
| 1/Ncolor expansion | |
- color loops
- Euler number
- flavor
| VIIC4 | |
| worldsheet topology | |
- duality
- tadpoles
- open→closed
| XIA2 | XIA2.1 (due 11/1) |
| discrete worldline symmetries | IA4 (proper time) |
| IA5 | |
| string theory typology | IB4-5 (SO/Sp groups) |
- Chan-Paton
- worldsheet CPT
- orientation
- supersymmetry
| XIA4 | XIA4.1 (due 11/4) |
| Geometry | |
| particle propagators | IIIA1 (Dirac δ), IIIB (classical), VA3 (nonrelativistic) |
- proper time
- iε ℞
- energy sign
| VB1 | VB1.1 (due 11/6) |
| 1st-quantized particle graphs | |
- Schwinger parameters
- 1st-q action
| VC8 | |
| worldsheet lattices | VA5,VB4 (Wick rotation) |
- discrete worldsheet
- string action
- preon propagators
| XIA7 (1st ½) | XIA7.1 (due 11/6) |
| Particle scattering | |
| 1st-q S-matrices | IIIB3 (background fields), VA4 (nonrelativistic) |
- perturbation
- interaction picture
- Green function
- loops
| VIIIC5 | |
| Γ functions | |
- Schwinger parametrization
- Beta function
| VIIA2 | VIIA2.2,3, VIIC2.2 (due 11/11) |
| Coulomb scattering | IA4 (Mandelstam variables), VA2 (JWKB) |
- eikonal approximation
- strong coupling
- infrared
| VIIA6 (2nd ½) | VIIA6.2 (due 11/13) |
| String trees | |
| Regge behavior | |
- ladders
- complex angular momentum
- duality
| XIA1 | XIA1.2 (due 11/15) |
| Green functions | |
- cylinder→plane
- closed→open
| XIB2 (last ⅖) | VIIB1.1 (due 11/15) |
| Open trees | |
- 4 tachyons
- limits
- higher-point
| XIB6 | XIB6.2 (due 11/18) |
| Closed trees | |
- Schwinger parameters
- 4 tachyons
- open factorization
| XIB7 | XIB7.1,2 (due 11/22) |
| Green-Schwarz | |
| supersymmetry | |
- algebra
- positivity
- massless
| IIC1 | |
| superspace | |
- coordinates
- covariant derivatives
| IIC2 | |
| superparticle | IIIB1-2 (scalar particle) |
- Hamiltonian
- constraints
- lightcone gauge
| IIIB6 | IIIB6.1 (due 11/25) |
| superstring | XIA5 (T-duality) |
- currents
- action
- lightcone gauge
| XIA9 | |