Unified view of symmetry and fusion rules in topological phases

Paper Title:

Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography

Published on:

8 May 2024

Primary Category:

High Energy Physics - Theory

Paper Authors:

Yoshiki Fukusumi

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Key Details

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Proposes 'bulk semionization' method to extract fusion subalgebra from bulk CFT

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Subalgebra corresponds to chiral CFT and topological order fusion rules

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Uncovers connection between generalized symmetry and fractional supersymmetry

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Provides unified bulk-boundary framework for topological phases

Explore the topics in this paper

chiral field theories

conformal field theories

fractional supersymmetry

topological holography

topological orders

AI generated summary

Unified view of symmetry and fusion rules in topological phases

This paper revisits the mathematical structure connecting conformal field theories (CFTs), chiral CFTs, and topological orders. It proposes a new 'bulk semionization' technique to extract a fusion subalgebra from bulk CFT data. This reveals connections between generalized symmetry, fractional supersymmetry, and topological holography, offering a unified framework applicable to topological phases in general dimensions.