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2026 algebraic qft course
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notes
Folder: courses/2026-algebraic-qft-course/notes
30 items under this folder.
Sep 29, 2026
Sem II Week 1 — Witten Setup: Large N, Single-Trace Operators, and the Emergence of Type III
Sep 29, 2026
Sem II Week 4 — Rindler Crossed Product: Exact Checks and Honest Limits
Sep 29, 2026
Sem II Week 10 — Liu Lectures II: Crossed Products, Semiclassical Limits, Algebraic ER=EPR
Sep 29, 2026
Sem II Week 14 — MSY: The Bulk Side; and a de Sitter Aside (CLPW, type II₁)
Sep 29, 2026
Sem II Week 15 — Final Presentations and Outlook (Course Capstone)
Sep 29, 2026
Week 1 — C*-algebras, States, and the GNS Construction
Sep 29, 2026
Week 2 — Von Neumann Algebras and the Double Commutant
Sep 29, 2026
Week 3 — Type Classification (I, II, III) and Projections
Sep 29, 2026
Week 4 — KMS States, the Modular Interpretation, Type III Preview
Sep 29, 2026
Week 8 — Free-Field Algebras and Weyl Operators
Sep 29, 2026
Week 10 — The Bisognano–Wichmann Theorem
Sep 29, 2026
Week 13 — The Crossed Product Construction
Sep 29, 2026
Week 14 — Dressed Entropy and the Modular-Energy Term
Aug 24, 2026
Sem II Week 2 — Witten's Construction: Energy as a Collective Coordinate
Aug 24, 2026
Sem II Week 3 — Trace, Entropy, and the Generalized-Entropy Interpretation
Aug 24, 2026
Sem II Week 5 — The TFD as a Type III₁ KMS State
Aug 24, 2026
Sem II Week 6 — CPW: The Right Algebra and Its Commutant
Aug 24, 2026
Sem II Week 7 — CPW Trace Entropy and Generalized Entropy
Aug 24, 2026
Sem II Week 8 — Bell-CHSH Between the Two Sides: Exact Model and Continuum Protocol
Aug 24, 2026
Sem II Week 9 — Liu Lectures I: Type III at Large N and Modular Flow as Geometry
Aug 24, 2026
Sem II Week 11 — Ahmad–Jefferson I: Unitary Perturbations, Araki Comparison, and GJW
Aug 24, 2026
Sem II Week 12 — Ahmad–Jefferson II: Source Audit, Exact Model, and Computation Protocol
Aug 24, 2026
Sem II Week 13 — Ahmad–Jefferson III: Open Questions and Positioning the Field
Aug 24, 2026
Week 5 — Cyclic-Separating Vectors and the Tomita Operator
Aug 24, 2026
Week 6 — Modular Flow and the KMS Condition
Aug 24, 2026
Week 7 — Connes Cocycle and Araki-Uhlmann Relative Entropy
Aug 24, 2026
Week 9 — Local Algebras and the Reeh–Schlieder Theorem
Aug 24, 2026
Week 11 — Bell–CHSH Inequalities in QFT
Aug 24, 2026
Week 12 — Type III₁ Classification of QFT Local Algebras
Aug 24, 2026
Week 15 — The TFD and the Bridge to Semester II