Artigo Acesso aberto Revisado por pares

Quiver Gauge Theory and Noncommutative Vortices

2007; Oxford University Press; Volume: 171; Linguagem: Inglês

10.1143/ptps.171.258

ISSN

0375-9687

Autores

Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo,

Tópico(s)

Algebraic structures and combinatorial models

Resumo

We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R2nθ×G/H which are manifestly G-symmetric. Given a G-representation, by twisting with a particular bundle over G/H, we obtain a G-equivariant U(k) bundle with a G-equivariant connection over R2nθ×G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces reduce to vortex-type equations in a particular quiver gauge theory on R2nθ. Seiberg-Witten monopole equations are particular examples. The noncommutative BPS configurations are formulated with partial isometries, which are obtained from an equivariant Atiyah-Bott-Shapiro construction. They can be interpreted as D0-branes inside a space-filling brane-antibrane system.

Referência(s)