Relaxed highest-weight modules III: Character formulae
Copyright policy )Relaxed highest-weight modules III: Character formulae
This is the third of a series of articles devoted to the study of relaxed highest weight modules over vertex operator algebras. Relaxed highest weight modules over affine vertex algebras associated to higher rank Lie algebras $A_\ell$ are extensively studied. In particular, the string functions of simple relaxed highest weight modules whose top spaces are simple cuspidal $A_\ell$-modules are shown to be the quotients by a power of the Dedekind eta series of the $q$-characters of simple ordinary modules over affine W-algebras associated with the minimal nilpotent elements of $A_\ell$.
27 pages
- Kumamoto University Japan
High Energy Physics - Theory, affine W-algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro and related algebras, FOS: Physical sciences, Mathematical Physics (math-ph), conformal field theory, relaxed highest-weight modules, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, affine Kac-Moody algebras, Quantum Algebra (math.QA), vertex operator algebras, Representation Theory (math.RT), Vertex operators; vertex operator algebras and related structures, Mathematics - Representation Theory, Mathematical Physics
High Energy Physics - Theory, affine W-algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro and related algebras, FOS: Physical sciences, Mathematical Physics (math-ph), conformal field theory, relaxed highest-weight modules, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, affine Kac-Moody algebras, Quantum Algebra (math.QA), vertex operator algebras, Representation Theory (math.RT), Vertex operators; vertex operator algebras and related structures, Mathematics - Representation Theory, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!