Classification of some vertex operator algebras of rank 3
From MaRDI portal
Publication:2201808
DOI10.2140/ant.2020.14.1613OpenAlexW3103591294MaRDI QIDQ2201808
Publication date: 17 September 2020
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07500
Vertex operators; vertex operator algebras and related structures (17B69) Modular and automorphic functions (11F03) Infinite-dimensional Lie (super)algebras (17B65)
Related Items
Meromorphic cosets and the classification of three-character CFT ⋮ Modular differential equations with movable poles and admissible RCFT characters ⋮ Contour integrals and the modular \(\mathcal{S}\)-matrix ⋮ Discreteness and integrality in conformal field theory ⋮ Five not-so-easy pieces: open problems about vertex rings ⋮ Modular ordinary differential equations on \(\mathrm{SL}(2,\mathbb{Z})\) of third order and applications ⋮ Classifying three-character RCFTs with Wronskian index equalling 0 or 2 ⋮ Holomorphic modular bootstrap revisited ⋮ Bootstrapping fermionic rational CFTs with three characters ⋮ Character vectors of strongly regular vertex operator algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Affine vertex operator algebras and modular linear differential equations
- Explicit bounds for primes in arithmetic progressions
- Three-dimensional imprimitive representations of the modular group and their associated modular forms
- Classical and quantum conformal field theory
- Monodromy for the hypergeometric function \(_ nF_{n-1}\)
- Symmetric invariant bilinear forms on vertex operator algebras
- Cosets of meromorphic CFTs and modular differential equations
- Two-dimensional RCFT's without Kac-Moody symmetry
- On unbounded denominators and hypergeometric series
- Meromorphic \(c=24\) conformal field theories
- Simple currents and extensions of vertex operator algebras
- Hypergeometric series, modular linear differential equations and vector-valued modular forms
- A bounded automorphic form of dimension zero is constant
- Fourier Coefficients of Vector-valued Modular Forms of Dimension 2
- Lattice Subalgebras of Strongly Regular Vertex Operator Algebras
- Mirror extensions of rational vertex operator algebras
- Integrability of C2-cofinite vertex operator algebras
- VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
- Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters
- Modular invariance of characters of vertex operator algebras
- 71 holomorphic vertex operator algebras of central charge 24
- Introduction to Lie Algebras and Representation Theory
- Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\).
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
