On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras, II
| dc.creator | Etingof, Pavel | |
| dc.date | 2003-12-24 | |
| dc.date.accessioned | 2026-07-07T05:04:11Z | |
| dc.date.available | 2026-07-07T05:04:11Z | |
| dc.description | Recently, motivated by supersymmetric gauge theory, Cachazo, Douglas, Seiberg, and Witten proposed a conjecture about finite dimensional simple Lie algebras, and checked it in the classical cases. Later V. Kac and the author proposed a uniform approach to this conjecture, based on the theory of abelian ideals in the Borel subalgebra; this allowed them to check the conjecture for type G_2. In this note we further develop this approach, and propose three natural conjectures which imply the three parts of the CDSW conjecture. In a sense, these conjectures explain why the CDSW conjecture should be true. We show that our conjectures hold for classical Lie algebras and for G_2; this, in particular, gives a purely algebraic proof of the CDSW conjecture for SO(N) (the original proof, due to Witten, uses the theory of instantons). | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312452 | |
| dc.identifier | http://arxiv.org/abs/math/0312452 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69705 | |
| dc.subject | Representation Theory | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras, II | |
| dc.type | text |