Noncommutative Monopole from Nonlinear Monopole

We solve the non-linear monopole equation of the Born-Infeld theory to all orders in the NS 2-form and give physical implications of the result. The solution is constructed by extending the earlier idea of rotating the brane configuration of the Dirac monopole in the target space. After establishing the non-linear monopole, we explore the non-commutative monopole by the Seiberg-Witten map.Comment: 12 pages, 3 figures, LaTeX, v2: introduction modified and reference adde

Supergravity Solutions for Localized Intersections of Branes

We construct an explicit supergravity solution for a configuration of localized D4-brane ending on a D6-brane, restricted to the near horizon region of the latter. We generate this solution by dimensionally reducing the supergravity solution for a flat M5-brane in $R^{1,7} \times C^2/Z_N$ with the M5-brane partially embedded in $C^2/Z_N$. We describe the general class of localized intersections and overlaps whose supergravity solutions are constructible in this way.Comment: 15 pages, 1 figur

Chromomagnetic Instability and Gluonic Phase

We briefly report on a recent development in studies of a phase with vector condensates of gluons (gluonic phase) in dense two-flavor quark matter.Comment: 8 pages, 7 figures; talk given at 2006 International Workshop SCGT06, Nagoya, Japan, November 21-24, 200