2020/03/23 by Kawasetsu, Kazuya
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2003.10148
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_ℓ are extensively studied. In particular, the string functions of simple relaxed highest weight modules whose top spaces are simple cuspidal A_ℓ-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_ℓ.