On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras

• Autores: S. Kumar
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 21, Nº 3, 2008, págs. 797-808
• Idioma: inglés
• DOI: 10.1090/s0894-0347-08-00599-7
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• Resumen

  • We prove a part of the Cachazo-Douglas-Seiberg-Witten conjecture uniformly for any simple Lie algebra . The main ingredients in the proof are: Garland's result on the Lie algebra cohomology of ; Kostant's result on the `diagonal' cohomolgy of and its connection with abelian ideals in a Borel subalgebra of ; and a certain deformation of the singular cohomology of the infinite Grassmannian introduced by Belkale-Kumar