2020年3月23日

# Relaxed highest-weight modules III: Character formulae

• Kazuya Kawasetsu

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 $A_\ell$.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:2003.10148
Arxiv Url
http://arxiv.org/abs/2003.10148v1
Arxiv Url
http://arxiv.org/pdf/2003.10148v1 本文へのリンクあり

エクスポート