# String Theory Context Map

## Package center

- RU is the universality engine.
- This PDF is used as a host-language context only. The engine depends on finite inputs (graph, nonnegative templates, costs).

## Source

- `sources/context/string_theory.pdf`
- Page count: 324

## Where host-structure language appears in the PDF

### Worldsheet and conformal field theory

| Term | Pages with term | First pages |
| --- | --- | --- |
| worldsheet | 45 | 4, 9, 21, 22, 27, 28, 31, 32, 33, 34 |
| conformal field theory | 4 | 3, 81, 92, 255 |
| conformal | 65 | 3, 5, 10, 11, 34, 54, 79, 80, 81, 82 |
| cft | 27 | 4, 5, 65, 87, 91, 96, 97, 99, 100, 104 |
| virasoro | 36 | 2, 3, 4, 53, 57, 59, 61, 62, 63, 65 |
| primary | 33 | 87, 88, 89, 90, 91, 92, 102, 103, 104, 105 |
| chiral | 12 | 94, 128, 162, 188, 189, 190, 191, 194, 195, 196 |
| representation | 25 | 3, 19, 45, 62, 76, 78, 79, 80, 105, 119 |

- Union pages for this group (first): 2, 3, 4, 5, 9, 10, 11, 19, 21, 22, 27, 28, 31, 32, 33, 34, 37, 38, 39, 45

### Operator product expansion

| Term | Pages with term | First pages |
| --- | --- | --- |
| ope | 145 | 3, 4, 8, 9, 11, 13, 15, 17, 24, 33 |
| operator product | 6 | 3, 94, 96, 104, 289, 304 |
| vertex operator | 6 | 4, 159, 217, 220, 221, 222 |

- Union pages for this group (first): 3, 4, 8, 9, 11, 13, 15, 17, 24, 33, 35, 36, 41, 44, 45, 50, 51, 52, 53, 55

### Modular and torus

| Term | Pages with term | First pages |
| --- | --- | --- |
| modular invariance | 1 | 190 |
| modular | 1 | 190 |
| torus | 3 | 206, 252, 253 |
| cylinder | 8 | 96, 97, 98, 100, 101, 106, 117, 288 |
| partition function | 3 | 144, 147, 217 |

- Union pages for this group (first): 96, 97, 98, 100, 101, 106, 117, 144, 147, 190, 206, 217, 252, 253, 288

### Boundaries, D-branes, open strings

| Term | Pages with term | First pages |
| --- | --- | --- |
| boundary | 46 | 4, 12, 19, 24, 33, 35, 36, 37, 39, 41 |
| d-brane | 17 | 10, 11, 162, 192, 210, 215, 229, 234, 251, 252 |
| open string | 32 | 4, 35, 36, 41, 50, 51, 52, 55, 59, 60 |
| closed string | 26 | 21, 35, 39, 41, 43, 50, 51, 52, 53, 59 |
| chan-paton | 1 | 206 |
| brst | 34 | 3, 4, 11, 126, 129, 130, 132, 133, 134, 135 |

- Union pages for this group (first): 3, 4, 10, 11, 12, 19, 21, 24, 33, 35, 36, 37, 39, 41, 43, 44, 46, 50, 51, 52

### Hilbert-space language

| Term | Pages with term | First pages |
| --- | --- | --- |
| hilbert | 11 | 56, 65, 97, 120, 137, 153, 168, 177, 225, 226 |

- Union pages for this group (first): 56, 65, 97, 120, 137, 153, 168, 177, 225, 226, 246

## How this maps into RU inputs

- Finite sector selection
  - Choose a finite label set of states or sectors appropriate to a regime.
- Nonnegative templates
  - In rational or topological subsectors, fusion or channel-composition coefficients form nonnegative matrices.
  - In open-string settings, Chan-Paton multiplicities provide another canonical source of nonnegative incidence data.
- Constraints as a graph
  - Boundary conditions, allowed channel schedules, and defect insertions can be encoded as a finite directed graph.
- Optional cost model
  - If an extremal regime is being certified, assign costs to edges and let canonical normalization define the tight core.

## Outputs

- `sources/context/string_theory_index.json`
- `docs/StringTheory_Index.md`

