Nonabelian orbifolds and the boson-fermion correspondence

DOI10.1007/BF02101462zbMath0808.17019OpenAlexW2068032081MaRDI QIDQ1330950

Chongying Dong, Geoffrey Mason

Publication date: 10 August 1994

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

Full work available at URL: https://doi.org/10.1007/bf02101462

zbMATH Keywords

twisted modulespartition functionsspin latticeholomorphic vertex operator algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (26)

Derived equivalences of K3 surfaces and twined elliptic genera ⋮ An orbifold theory of genus zero associated to the sporadic group \(M_{24}\) ⋮ Moonshine ⋮ The umbral moonshine module for the unique unimodular Niemeier root system ⋮ Monstrous string-string duality ⋮ The algebraic structure of relative twisted vertex operators ⋮ THE MOONSHINE MODULE FOR CONWAY’S GROUP ⋮ Simple currents and extensions of vertex operator algebras ⋮ Coset construction of \(\mathbb Z/3\) orbifold vertex operator algebra \(V_{\sqrt{2}A_2}^{\tau}\) ⋮ Lattice Subalgebras of Strongly Regular Vertex Operator Algebras ⋮ Topological modularity of Monstrous Moonshine ⋮ Self-dual vertex operator superalgebras and superconformal field theory ⋮ The Brylinski filtration for affine Kac-Moody algebras and representations of \(\mathscr{W}\)-algebras ⋮ Finite vertex algebras and nilpotence ⋮ On quantum Galois theory ⋮ Conformal field theories with sporadic group symmetry ⋮ Finite group modular data ⋮ Classification of irreducible modules for the vertex operator algebra \(M(1)^+\). II: Higher rank ⋮ A new existence proof of the Monster by VOA theory ⋮ Super-moonshine for Conway's largest sporadic group ⋮ Rank one lattice type vertex operator algebras and their automorphism groups ⋮ Quantum Galois theory for compact Lie groups ⋮ Classification of irreducible modules for the vertex operator algebra \(M(1)^+\) ⋮ A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\) ⋮ Representations of a class of lattice type vertex algebras ⋮ STRING FIELD THEORY FROM QUANTUM GRAVITY

Cites Work

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• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Classical affine algebras
• Beauty and the beast: Superconformal symmetry in a monster module
• The operator algebra of orbifold models
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Orbifolds, Hopf algebras, and the moonshine
• Generalized vertex algebras and relative vertex operators
• Vertex algebras associated with even lattices
• The algebraic structure of relative twisted vertex operators
• Calculus of twisted vertex operators
• Vertex algebras, Kac-Moody algebras, and the Monster
• 𝐺-elliptic systems and the genus zero problem for 𝑀₂4
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• Shifted vertex operator algebras and G-elliptic systems

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