Unitarity and strong graded locality of holomorphic vertex operator superalgebras with central charge at most 24

Autor:	Gaudio, Tiziano
Rok vydání:	2024
Předmět:	Mathematics - Quantum Algebra High Energy Physics - Theory Mathematical Physics Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	We prove that all nice holomorphic vertex operator superalgebras (VOSAs) with central charge at most 24 and with non-trivial odd part are unitary, apart from the hypothetical ones arising as fake copies of the shorter moonshine VOSA or of the latter tensorized with a real free fermion VOSA. Furthermore, excluding the ones with central charge 24 of glueing type III and with no real free fermion, we show that they are all strongly graded-local. In particular, they naturally give rise to holomorphic graded-local conformal nets. In total, we are able to prove that 910 of the 969 nice holomorphic VOSAs with central charge 24 and with non-trivial odd part are strongly graded-local, without counting hypothetical fake copies of the shorter moonshine VOSA tensorized with a real free fermion VOSA. Comment: 34 pages; improved exposition; Prop. 3.8 in v1 slightly improved; the main results are the same
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.07099 Zobrazit plný text záznamu View this record from Arxiv