Competing anyon condensates in string-net models generate critical lattice models, including new Haagerup-symmetric CFT candidates with central charges near 1.3, 1.8 and 2.5.
Block maps and Fourier analysis
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We introduce block maps for subfactors and study their dynamic systems. We prove that the limit points of the dynamic system are positive multiples of biprojections and zero. For the Z2 case, the asymptotic phenomenon of the block map coincides with that of that 2D Ising model. The study of block maps requires a further development of the recent work of the authors on the Fourier analysis of subfactors. We generalize the notion of sum set estimates in additive combinatorics for subfactors and prove the exact inverse sum set theorem. Using this new method, we characterize the extremal pairs of Young's inequality for subfactors, as well as the extremal operators of the Hausdorff-Young inequality.
citation-role summary
background 1
citation-polarity summary
fields
cond-mat.str-el 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT
Competing anyon condensates in string-net models generate critical lattice models, including new Haagerup-symmetric CFT candidates with central charges near 1.3, 1.8 and 2.5.