Semi-infinite forms and topological vertex operator algebras
| dc.creator | Huang, Yi-Zhi | |
| dc.creator | Zhao, Wenhua | |
| dc.date | 1999-03-02 | |
| dc.date | 1999-06-04 | |
| dc.date.accessioned | 2026-07-07T05:28:11Z | |
| dc.date.available | 2026-07-07T05:28:11Z | |
| dc.description | Semi-infinite forms on the moduli spaces of genus-zero Riemann surfaces with punctures and local coordinates are introduced. A partial operad for semi-infinite forms is constructed. Using semi-infinite forms and motivated by a partial suboperad of the partial operad for semi-infinite forms, topological vertex partial operads of type $k<0$ and strong topological vertex partial operads of type $k<0$ are constructed. It is proved that the category of (locally-)grading-restricted (strong) topological vertex operator algebras of type $k<0$ and the category of (weakly) meromorphic ${\Bbb Z}\times {\Bbb Z}$-graded algebras over the (strong) topological vertex partial operad of type k are isomorphic. As an application of this isomorphism theorem, the following conjecture of Lian-Zuckerman and Kimura-Voronov-Zuckerman is proved: A strong topological vertex operator algebra gives a homotopy Gerstenhaber algebra. These results hold in particular for the tensor product of the moonshine module vertex operator algebra, the vertex algebra constructed {from} a rank 2 Lorentz lattice and the ghost vertex operator algebra, studied in detail first by Lian and Zuckerman. | |
| dc.description | 63 pages. LaTeX file. One reference is added and the terminology is slightly revised | |
| dc.identifier | https://arxiv.org/abs/math/9903014 | |
| dc.identifier | http://arxiv.org/abs/math/9903014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78166 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 17B69; 17B68, 17B55, 32G15, 55U35, 81T40 | |
| dc.title | Semi-infinite forms and topological vertex operator algebras | |
| dc.type | text |