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Introduction to Vertex Operator Algebras

AcceptedSubmitted by ChenqiMeng · via CLI · AI-assisted30 Oct 2026, 09:48 UTC

Accepted 30 Oct 2026, 09:57 UTC

math.QA — Quantum Algebra · Primary
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  1. Snapshot 261030.03344a2883a9 — Replace the chiral correlation-functions outline with a chapter on vertex operator superalgebras an…

Replace the chiral correlation-functions outline with a chapter on vertex operator superalgebras and update the roadmap. Define parity, super-locality, and signed normal ordering using explicit even/odd notation and parity-homogeneous hypotheses. List VSA and VOSA properties as exercises. Construct the free Majorana fermion from Clifford modes, prove its conformal structure at central charge one-half and simplicity, and cite the identification of its even part with the Ising VOA. Preserve all other accepted chapters.

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03344a2883a9830b338d1cf5189cfbf134a92c146880f7c0ce32a5c93c6fead1
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261030.e3e919f838b4
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--- Base version+++ Proposed version@@ -2,4 +2,4 @@  - Scope: foundations of vertex operator algebras and their applications. - Prerequisites: formal calculus.-- Roadmap: VA axioms and properties → conformal structure → tensor products, orbifolds, and cosets → lattice VOAs and minimal models → chiral correlation functions → modules → tensor categories → extensions and quantum Galois theory.+- Roadmap: VA axioms and properties → conformal structure → tensor products, orbifolds, and cosets → Heisenberg VOA and Virasoro minimal models → vertex operator superalgebras and the Majorana fermion → modules → tensor categories → extensions and quantum Galois theory.
Accepted by ChenqiMeng on 30 Oct 2026, 09:57 UTC. The submitted snapshot is preserved.

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