Logarithmic CFTs connected with simple Lie algebras

Abstract

For any root system corresponding to a semisimple simply-laced Lie algebra a logarithmic CFT is constructed. Characters of irreducible representations were calculated in terms of theta functions.

References in corpus (9)

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Cited by in corpus (23)

• Logarithmic conformal field theory, log-modular tensor categories and modular forms
• Logarithmic W-algebras and Argyres-Douglas theories at higher rank
• The vertex algebras ${\mathcal{R}}^{(p)}$ and ${\mathcal{V}}^{(p)}$
• Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models
• Factorizable $R$-Matrices for Small Quantum Groups
• Logarithmic conformal field theories of type $B_n,\ell =4$ and symplectic fermions
• Quantum SL(2) and logarithmic vertex operator algebras at (p,1)-central charge
• Logarithmic Link Invariants of ${\overline{U}}_q^H({\mathfrak{sl}}_2)$ and Asymptotic Dimensions of Singlet Vertex Algebras
• Characterizing braided tensor categories associated to logarithmic vertex operator algebras
• On the Feigin-Tipunin conjecture
• Coset construction of logarithmic minimal models: branching rules and branching functions
• C_2-cofinite W-algebras and their logarithmic representations
• A Frobenius homomorphism for Lusztig's quantum groups over arbitrary roots of unity
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• Higher depth quantum modular forms, multiple Eichler integrals, and ${\mathfrak{sl}}_3$ false theta functions
• Fusion and (non)-rigidity of Virasoro Kac modules in logarithmic minimal models at $(p,q)$-central charge
• Simplicity of higher rank triplet W-algebras
• On parafermion vertex algebras of $\mathfrak{sl}(2{)}_{-3/2}$ and $\mathfrak{sl}(3{)}_{-3/2}$
• Quantum Modular $\hat{Z}{}^G$-Invariants
• Categories of Weight Modules for Unrolled Restricted Quantum Groups at Roots of Unity
• Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson
• The unrolled quantum group inside Lusztig's quantum group of divided powers
• Algebras of Non-Local Screenings and Diagonal Nichols Algebras