Domain walls in non-commutative field theories and folded D-branes

by Sergei Dubovskiy (CERN)

Tuesday 23 Mar 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

I describe domain walls on the non-commutative plane, which separate vacua with different gauge groups in gauge theory with an adjoint scalar field. The scalar field has non-minimal coupling to the gauge field, such that the scale of non-commutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interpret the domain wall as a stack of D-branes plus a stack of folded D-branes. I support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength.