Quiver Gauge Theory and Noncommutative Vortices
2007; Oxford University Press; Volume: 171; Linguagem: Inglês
10.1143/ptps.171.258
ISSN0375-9687
AutoresOlaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo,
Tópico(s)Algebraic structures and combinatorial models
ResumoWe 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.
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