On 'categories' of quantum field theories

2017/12/26 by Yuji Tachikawa, Tachikawa, Yuji
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1712.09456

openalex publication_date 2017/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a rough description of the 'categories' formed by quantum field theories. A few recent mathematical conjectures derived from quantum field theories, some of which are now proven theorems, will be presented in this language.

Citations

• On 2d TQFTs whose values are holomorphic symplectic varieties
• Wall-crossing, Hitchin Systems, and the WKB Approximation

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• Quantum Fields as Category Algebras
• A universe of processes and some of its guises
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