Abstract
We analyze in the spirit of hep-th/0110039 the possible existence of supersymmetric D p– D p brane systems in flat ten-dimensional Minkowski space. For p=3,4 we show that besides the solutions related by T-duality to the D2– D 2 systems found by Bak and Karch there exist other ansatz whose compatibility is shown from general arguments and that preserve also eight supercharges, in particular, a D4– D 4 system with D2-branes dissolved on it and Taub–NUT charge. We carry out the explicit construction in Weyl basis of the corresponding Killing spinors and conjecture the existence of new solutions for higher-dimensional branes with some compact directions analogous to the supertube recently found.
Highlights
The discovery in type II string theories of cylinder-like branes preserving a quarter of the supersymmetries of the flat Minkowski space-time, the so-called “supertubes” [1], [2], [3] has attracted much attention recently
An interesting observation related to this fact was made by Bak and Karch (BK); if we take the elliptical supertube with semi-axis a and b in the limit when for example a goes to infinity that is equivalent to see the geometry near the tube where it looks flat, the
We have studied in the context of the Born-Infeld effective action the existence of supersymmetric, presumably stable solutions of D2, D3 and D4-branes preserving a quarter of the supersymmetries of the flat background in which they are embedded
Summary
The discovery in type II string theories of cylinder-like branes preserving a quarter of the supersymmetries of the flat Minkowski space-time, the so-called “supertubes” [1], [2], [3] has attracted much attention recently. The introduction of the brane in such space will preserve the supersymmetries that satisfy [10]. In all these expressions the pull-back of the background fields to the brane defined by tμ1...μn (ξ) ≡ TM1...Mn(X )|X(ξ) ∂μ1 X M1(ξ) . We will restrict in this paper to work on the flat ten-dimensional Minkowski vacuum of type II string theories, the spinors being constants (in cartesian coordinates) of the type mentioned above
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