Topologizations of chiral representations. (English) Zbl 1062.81124
Summary: We analyze and compare two families of topologies that have been proposed for representation spaces of chiral algebras by Huang and Gaberdiel-Goddard respectively. We show, in particular, that for suitable pairs the topology of Gaberdiel-Goddard is coarser. We also give a new proof that the chiral two-point blocks are continuous in the topology of Huang.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 17B69 | Vertex operators; vertex operator algebras and related structures |
| 46N50 | Applications of functional analysis in quantum physics |
