Yang-Mills theories in dimensions 3,4,6,10 and Bar-duality
| dc.creator | Movshev, M. | |
| dc.date | 2005-03-22 | |
| dc.date | 2005-09-16 | |
| dc.date.accessioned | 2026-07-07T04:18:12Z | |
| dc.date.available | 2026-07-07T04:18:12Z | |
| dc.description | In this note we give a homological explanation of "pure spinors" in YM theories with minimal amount of supersymmetries. We construct A_{\infty} algebras A for every dimension D=3,4,6,10, which for D=10 coincides with homogeneous coordinate ring of pure spinors with coordinate lambda^{alpha}. These algebras are Bar-dual to Lie algebras generated by supersymmetries, written in components. The algebras have a finite number of higher multiplications. The main result of the present note is that in dimension D=3,6,10 the algebra A\otimes Λ[θ^α]\otimes Mat_n with a differential D is equivalent to Batalin-Vilkovisky algebra of minimally supersymmetric YM theory in dimension D reduced to a point. This statement can be extended to nonreduced theories. | |
| dc.description | Some references were added and few typos were corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0503165 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0503165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53076 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Yang-Mills theories in dimensions 3,4,6,10 and Bar-duality | |
| dc.type | text |