A Semi-Infinite Construction of Unitary N=2 Modules
| dc.creator | Feigin, BL | |
| dc.creator | Semikhatov, AM | |
| dc.creator | Tipunin, IYu | |
| dc.date | 2000-04-10 | |
| dc.date | 2001-04-01 | |
| dc.date.accessioned | 2026-07-07T04:09:45Z | |
| dc.date.available | 2026-07-07T04:09:45Z | |
| dc.description | We show that each unitary representation of the N=2 superVirasoro algebra can be realized in terms of ``collective excitations'' over a filled Dirac sea of fermionic operators satisfying a generalized exclusion principle. These are semi-infinite forms in the modes of one of the fermionic currents. The constraints imposed on the fermionic operators have a counterpart in the form of a model one-dimensional lattice system, studying which allows us to prove the existence of a remarkable monomial basis in the semi-infinite space. This leads to a Rogers--Ramanujan-like character formula. We construct the N=2 action on the semi-infinite space using a filtration by finite-dimensional subspaces (the structure of which is related to the supernomial coefficients); the main technical tool is provided by the dual functional realization. As an application, we identify the coinvariants with the dual to a space of meromorphic functions on products of punctured Riemann surfaces with a prescribed behaviour on multiple diagonals. For products of punctured $CP^1$, such spaces are related to the unitary N=2 fusion algebra, for which we also give an independent derivation. | |
| dc.description | LaTeX2e: amsart++, 54pp. V2: some changes in the presentation, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0004066 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0004066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/49974 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Semi-Infinite Construction of Unitary N=2 Modules | |
| dc.type | text |