Non-abelian vortices, Hecke modifications and singular monopoles

Autor:	Baptista, J. M.
Rok vydání:	2009
Předmět:	High Energy Physics - Theory Mathematics - Differential Geometry
Zdroj:	Lett.Math.Phys.92:243-252,2010
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-010-0394-4
Popis:	In this note we show that for the group G = U(N) the space of Hecke modifications of a rank N vector bundle over a Riemann surface C coincides with the moduli space of solutions of certain non-abelian vortex equations over C . Through the recent work of Kapustin and Witten this then leads to an isomorphism between the moduli space of vortices and the moduli space of singular monopoles on the product of C with a closed interval I . Comment: 13 pages; v2, v3: minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.1752 Zobrazit plný text záznamu View this record from Arxiv