\(p\)-adic vertex operator algebras

DOI10.1007/s40993-023-00433-1OpenAlexW4361292767MaRDI QIDQ2696583

Geoffrey Mason, Cameron Franc

Publication date: 14 April 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.07455

zbMATH Keywords

\(p\)-adic Banach spaces\(p\)-adic vertex operator algebrasSerre \(p\)-adic modular forms

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) (p)-adic theory, local fields (11F85) Lie algebras and Lie superalgebras (17B99)

Cites Work

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• Lattice-integrality of certain group-invariant integral forms in vertex operator algebras
• Conformal field theory
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• A mathematical introduction to conformal field theory. Based on a series of lectures given at the Mathematisches Institut der Universität Hamburg
• Axioms for a vertex algebra and the locality of quantum fields
• Torus chiral \(n\)-point functions for free boson and lattice vertex operator algebras
• Introduction to vertex operator algebras and their representations
• Modular Virasoro vertex algebras and affine vertex algebras
• A \(p\)-adic version of AdS/CFT
• Commutative quantum operator algebras
• Modular moonshine. II
• Integral forms in vertex operator algebras which are invariant under finite groups
• Modular moonshine. III.
• Character vectors of strongly regular vertex operator algebras
• Determinants for integral forms in lattice type vertex operator algebras
• Representations of vertex operator algebras over an arbitrary field
• Wilson line networks in \(p\)-adic AdS/CFT
• Twisted modules for affine vertex algebras over fields of prime characteristic
• A self-dual integral form of the moonshine module
• Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
• Vertex Operators and Modular Forms
• Heisenberg VOAs over fields of prime characteristic and their representations
• Vertex rings and their Pierce bundles
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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