Quiver gauge theory and noncommutative vortices

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

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R2n? × 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 R2n? × G/H. The U(k) Donaldson-Uhlenbeck-Yau equations on these spaces reduce to vortex-type equations in a particular quiver gauge theory on R2n?. 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 DO-branes inside a space-filling brane-antibrane system.

Original languageEnglish
Pages (from-to)258-268
Number of pages11
JournalProgress of Theoretical Physics Supplements
Issue number171
Publication statusPublished - 2007

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