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Introduction to vertex operator algebras and their representations /
Published 2004Subjects: “…Vertex operator algebras…”
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Characterizations of *-antiderivable mappings on operator algebras
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On Gradings of the Operator Algebra Generated by Mapping and Multipliers
Published 2015-12-01“…The operator algebra generated by mapping on a countable set and multipliers is considered. …”
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Operator algebras and quantum statistical mechanics I /
Published 1979Subjects: “…Operator algebras…”
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Trace functions of the parafermion vertex operator algebras
Published 2021“…The trace functions for the Parafermion vertex operator algebra associated to any finite dimensional simple Lie algebra g and any positive integer k are studied and an explicit modular transformation formula of the trace functions is obtained.…”
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Deformation quantizations from vertex operator algebras
Published 2020“…In this note we address the question whether one can recover from the vertex operator algebra associated with a four-dimensional N = 2 superconformal field theory the deformation quantization of the Higgs branch of vacua that appears as a protected subsector in the three-dimensional circle-reduced theory. …”
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Stabilizer Formalism for Operator Algebra Quantum Error Correction
Published 2024-02-01“…We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's for operator quantum error correction and subsystem codes (OQEC). …”
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Geometric phases characterise operator algebras and missing information
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Application of operator algebras to stochastic dynamics and the Heisenberg chain.
Published 1995Journal article -
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Vertex operator algebras, Higgs branches, and modular differential equations
Published 2018“…In this work, we aim to characterize the connection between the Higgs branch of the moduli space of vacua (as an algebraic geometric entity) and the associated vertex operator algebra. Ultimately our proposal is simple, but its correctness requires the existence of a number of nontrivial null vectors in the vacuum Verma module of the vertex operator algebra. …”
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The Philosophy of Nature of the Natural Realism. The Operator Algebra from Physics to Logic
Published 2022-10-01“…It is particularly significant in this categorical framework the possibility of extending the operator algebra formalism from (quantum and classical) physics to logic, via the so-called “Boolean algebras with operators” (BAOs), with this extension being the core of our formal ontology. …”
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