Constructing TQFTs Using Non-Hermitian Ribbon Fusion Categories
Khyathi Komalan
TL;DR
This paper introduces a straightforward method to construct Topological Quantum Field Theories from Non-Hermitian Ribbon Fusion Categories, supported by proofs on their structural properties.
Contribution
It presents a novel, simplified construction of TQFTs from non-Hermitian fusion categories without complex enrichment or additional structures.
Findings
Construction method for TQFTs from non-Hermitian categories
Proofs on M"uger center, braiding, and spherical structures
Simplification over previous complex approaches
Abstract
In this paper, we provide a construction of a Topological Quantum Field Theory from a Non-Hermitian Ribbon Fusion Category. This is a simple method that does not involve enriching over Fusion Categories, or using other complicated structures. To substantiate this construction, we also prove theorems on the M\"uger center, braiding, and spherical structure of such a fusion category.
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Taxonomy
TopicsHandwritten Text Recognition Techniques · Digital Filter Design and Implementation · Polynomial and algebraic computation