Modular invariant partition functions for the doubly extended \(N=4\) superconformal algebras

DOI10.1016/0550-3213(92)90216-XzbMath0968.17505OpenAlexW2075720435WikidataQ59197339 ScholiaQ59197339MaRDI QIDQ5940107

Anne Taormina, Hirosi Ooguri, Jens Lyng Petersen

Publication date: 9 September 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0550-3213(92)90216-x

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relationship to Lie algebras and finite simple groups (11F22) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Clifford algebra is the natural framework for root systems and Coxeter groups. Group theory: Coxeter, conformal and modular groups ⋮ New identities between unitary minimal Virasoro characters ⋮ Geometric interpretation of the large \(N=4\) index ⋮ Towards a classification of modular invariant partition functions for theories based on \(N=4\) superconformal algebras

Cites Work

• Infinite-dimensional Lie algebras, theta functions and modular forms
• Modular invariant partition functions in two dimensions
• The operator algebra of orbifold models
• Realisations of N=4 superconformal algebras on Wolf spaces