On Some Algebraic Structures Arising in String Theory
| dc.creator | Penkava, Michael | |
| dc.creator | Schwarz, Albert | |
| dc.date | 1992-12-11 | |
| dc.date | 1992-12-18 | |
| dc.date.accessioned | 2026-07-07T09:01:05Z | |
| dc.date.available | 2026-07-07T09:01:05Z | |
| dc.description | Lian and Zuckerman proved that the homology of a topological chiral algebra can be equipped with the structure of a BV-algebra; \ie one can introduce a multiplication, an odd bracket, and an odd operator $Δ$ having the same properties as the corresponding operations in Batalin-Vilkovisky quantization procedure. We give a simple proof of their results and discuss a generalization of these results to the non chiral case. To simplify our proofs we use the following theorem giving a characterization of a BV-algebra in terms of multiplication and an operator $Δ$: {\em If $A$ is a supercommutative, associative algebra and $Δ$ is an odd second order derivation on $A$ satisfying $Δ^2=0$, one can provide $A$ with the structure of a BV-algebra.} | |
| dc.description | 15 pages (Some corrections were made) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9212072 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9212072 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148208 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On Some Algebraic Structures Arising in String Theory | |
| dc.type | text |