What question did this study set out to answer?

This research aims to explore the implications of anyon condensation in product modular tensor categories (MTCs) across multiple dimensions.

May 14, 20260 citationsOpen Access

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Six Directions in Anyon Condensation: Witt Classes, Fermionic Obstruction, and Condensation Lattices in Product Modular Tensor Categories

ABAdam Bazih

Puntos clave

This research aims to explore the implications of anyon condensation in product modular tensor categories (MTCs) across multiple dimensions.
Comprehensive analysis of 20 product modular tensor categories (MTCs)
Investigated fermionic condensable algebras and their absence up to 10^10
Explored properties of diamond condensation lattices and F-symbol dimensionality.
Demonstrated universal Witt nontriviality across the studied categories
Confirmed complete absence of fermionic condensable algebras
Established that SU(4)_1^2 does not resolve to D(Z_4).

Resumen

v3: Comprehensive extension along six directions across 20 product MTCs. Key results: universal Witt nontriviality, complete absence of fermionic condensable algebras (search spaces up to 10¹0), diamond condensation lattices, SU (4) ₁² != D (Z₄) resolution, F-symbol dimensionality, higher-rank extensions.

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Cite This Study

Adam Bazih (Tue,) studied this question.

synapsesocial.com/papers/6a05684ea550a87e60a20cb7 https://doi.org/https://doi.org/10.5281/zenodo.20128951

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