Representations of vertex operator algebras and superalgebras by Wang, Weiqiang

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Trace functions of the parafermion vertex operator algebras by Dong, Chongying, Kac, Victor, Ren, Li

“…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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8.05 Quantum Physics II, Fall 2004 by Stewart, Iain

Subjects: “…Harmonic oscillator: operator algebra…”
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8.05 Quantum Physics II, Fall 2002 by Rajagopal, Krishna, 1965-

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Emergent Times in Holographic Duality by Leutheusser, Samuel Aaron Wehlau

“…A key element is the emergence, in the large N limit of the boundary theory, of a type III1 von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it. …”
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Free analysis and random matrices by Guionnet, Alice

“…Such an equation appears in different fields such as combinatorics (via the problem of the enumeration of planar maps), operator algebra (via the definition of a natural integration by parts in free probability), in classical probability (via random matrices or particles in repulsive interaction). …”
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Modular Invariance for Twisted Modules over a Vertex Operator Superalgebra by van Ekeren, Jethro William

“…The purpose of this paper is to generalize Zhu’s theorem about characters of modules over a vertex operator algebra graded by integer conformal weights, to the setting of a vertex operator superalgebra graded by rational conformal weights. …”
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Geometric Langlands in prime characteristic by Chen, Tsao-Hsien

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A Converse to Lieb–Robinson Bounds in One Dimension Using Index Theory by Ranard, Daniel, Walter, Michael, Witteveen, Freek

“…We also discuss some results on the stability of operator algebras which may be of independent interest.…”
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Algebraic ER=EPR and complexity transfer by Engelhardt, Netta, Liu, Hong

“…We propose an algebraic definition of ER=EPR in the GN → 0 limit, which associates bulk spacetime connectivity/disconnectivity to the operator algebraic structure of a quantum gravity system. …”
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Modular invariance for vertex operator superalgebras by Van Ekeren, Jethro (Jethro William)

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Quantum geometric Langlands correspondence in positive characteristic: the GLN case by Travkin, Roman (Roman Mikhailovich)

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