Modular invariant Virasoro modules and elliptic curves

DOI10.1007/BF00398276zbMath0721.17021MaRDI QIDQ2640691

Murray R. Bremner

Publication date: 1990

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

zbMATH Keywords

elliptic curvescentral chargemodular invariancetensor productVirasoro modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Relationship to Lie algebras and finite simple groups (11F22) Elliptic curves (14H52)

Cites Work

• Unitary representations of the Virasoro and super-Virasoro algebras
• Details of the non-unitary proof for highest weight representations of the Virasoro algebra
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Infinite conformal symmetry in two-dimensional quantum field theory
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
• Universal Bounds on the Torsion of Elliptic Curves