The Hermitian axiom on two-dimensional topological quantum field theories
Name
022301_1_5.0121440.pdf
Size
4.05 MB
Format
Adobe PDF
Checksum (MD5)
7f78af634088bbcfda733734f5f73127
Author(s)
Zhu, Honglin
Date Issued
February 1, 2023
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Citation
Honglin Zhu; The Hermitian axiom on two-dimensional topological quantum field theories. J. Math. Phys. 1 February 2023; 64 (2): 022301.
Version
Final published version
Abstract
We examine Atiyah’s Hermitian axiom for two-dimensional complex topological quantum field theories. Building on the correspondence between 2D topological quantum field theories (TQFTs) and Frobenius algebras, we find the algebraic objects corresponding to Hermitian and unitary TQFTs, respectively, and prove structure theorems about them. We then clarify a few older results on unitary TQFTs using our structure theorems.
Subjects
Mathematical Physics
Statistical and Nonlinear Physics
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
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Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/5.0121440
