Twisted modules and \(G\)-equivariantization in logarithmic conformal field theory

DOI10.1007/s00220-020-03882-2zbMath1480.18014arXiv1910.13226OpenAlexW2982392291MaRDI QIDQ2021634

Robert McRae

Publication date: 27 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13226

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Spectral sequences, hypercohomology (18G40) Vertex operators; vertex operator algebras and related structures (17B69) Applications of logic in associative algebras (16B70) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (9)

On semisimplicity of module categories for finite non-zero index vertex operator subalgebras ⋮ Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ Direct limit completions of vertex tensor categories ⋮ The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\) ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ On the tensor structure of modules for compact orbifold vertex operator algebras ⋮ \(S\)-matrix in orbifold theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic fermions and a quasi-Hopf algebra structure on \(\overline{U}_{\operatorname{i}}s\ell(2)\)
• Monoidal supercategories
• On quantum Galois theory
• Generalized twisted modules associated to general automorphisms of a vertex operator algebra
• A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
• Cofiniteness conditions, projective covers and the logarithmic tensor product theory
• The operator algebra of orbifold models
• Generalized vertex algebras and relative vertex operators
• On braiding and dyslexia
• Intertwining operators among twisted modules associated to not-necessarily-commuting automorphisms
• \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras
• Modular categories and orbifold models
• On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
• Galois extensions of braided tensor categories and braided crossed G-categories
• Intertwining operators for twisted modules of a colored vertex operator superalgebra
• On the tensor structure of modules for compact orbifold vertex operator algebras
• Twist vertex operators for twisted modules
• \(C_2\)-cofiniteness of cyclic-orbifold models
• Braided tensor categories and extensions of vertex operator algebras
• Conformal orbifold theories and braided crossed \(G\)-categories
• Twisted logarithmic modules of vertex algebras
• Tensor categories and the mathematics of rational and logarithmic conformal field theory
• Associative algebras for (logarithmic) twisted modules for a vertex operator algebra
• RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
• A braided monoidal category for free super-bosons
• Simple current extensions beyond semi-simplicity
• Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules
• Tensor Categories
• Generalized rationality and a ``Jacobi identity for intertwining operator algebras

This page was built for publication: Twisted modules and \(G\)-equivariantization in logarithmic conformal field theory