Towards a classification of two-character rational conformal field theories
From MaRDI portal
Publication:2421697
DOI10.1007/JHEP04(2019)153zbMath1415.81074arXiv1810.09472WikidataQ127959358 ScholiaQ127959358MaRDI QIDQ2421697
A. Ramesh Chandra, Sunil Mukhi
Publication date: 17 June 2019
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09472
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10)
Related Items
Modular linear differential equations for four-point sphere conformal blocks, On classification of fermionic rational conformal field theories, Rationalizing CFTs and anyonic imprints on Higgs branches, Hecke relations, cosets and the classification of 2d RCFTs, Classification of unitary RCFTs with two primaries and central charge less than 25, Fake Z, 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, Classification of extremal vertex operator algebras with two simple modules, Modular constraints on superconformal field theories, Discreteness and integrality in conformal field theory, Quantum stabilizer codes, lattices, and CFTs, Poincaré series, 3d gravity and averages of rational CFT, Wronskian indices and rational conformal field theories, Monster anatomy, Rational CFT with three characters: the quasi-character approach, Classifying three-character RCFTs with Wronskian index equalling 0 or 2, Holomorphic modular bootstrap revisited, Bootstrapping fermionic rational CFTs with three characters, Needles in a haystack. An algorithmic approach to the classification of 4d \(\mathcal{N} = 2\) SCFTs, New meromorphic CFTs from cosets, The Pollica perspective on the (super)-conformal world
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Affine vertex operator algebras and modular linear differential equations
- Irreducible vector-valued modular forms of dimension less than six
- Conformal field theory
- Fusion rules and modular transformations in 2D conformal field theory
- Vector-valued modular functions for the modular group and the hypergeometric equation
- A modern fareytail
- \(c=I\) conformal field theories on Riemann surfaces
- Infinite conformal symmetry in two-dimensional quantum field theory
- Current algebras and Wess-Zumino model in two dimensions
- On modular forms arising from a differential equation of hypergeometric type
- On 2d conformal field theories with two characters
- Cosets of meromorphic CFTs and modular differential equations
- Two-dimensional RCFT's without Kac-Moody symmetry
- Universal RCFT correlators from the holomorphic bootstrap
- Vertex operator algebras, Higgs branches, and modular differential equations
- Hecke relations in rational conformal field theory
- Monstrous moonshine and monstrous Lie superalgebras
- Meromorphic \(c=24\) conformal field theories
- Infinite chiral symmetry in four dimensions
- Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited
- 2-dimensional vector-valued modular forms
- The sextonions and \(E_{7\frac12}\)
- Modular forms and second order ordinary differential equations: applications to vertex operator algebras
- Quasi-lisse vertex algebras and modular linear differential equations
- The intermediate vertex subalgebras of the lattice vertex operator algebras
- Modular differential equations for characters of RCFT
- Hypergeometric series, modular linear differential equations and vector-valued modular forms
- On Fusion Rules in Logarithmic Conformal Field Theories
- ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS
- Rademacher Sums and Rademacher Series
- The Theory of Vector-Valued Modular Forms for the Modular Group
- On classification of extremal non-holomorphic conformal field theories
- GN ⊗ GL/GN+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
- On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation
- VECTOR-VALUED MODULAR FORMS AND LINEAR DIFFERENTIAL OPERATORS
- The Fourier Series and the Functional Equation of the Absolute Modular Invariant J(τ)
- Exceptional Vertex Operator Algebras and the Virasoro Algebra
