On the non-existence of totally localised intersections of D3/D5 branes in type IIB SUGRA
Leonardo Pati\~no, Douglas J. Smith
TL;DR
This paper proves that fully localized intersecting D3/D5 branes cannot exist in type IIB supergravity due to constraints from supersymmetry and equations of motion.
Contribution
It demonstrates the non-existence of totally localized D3/D5 brane intersections in type IIB supergravity under specified symmetry conditions.
Findings
No solutions with fully localized D3/D5 intersections exist.
Supersymmetry constraints restrict the form of possible configurations.
The Ramond-Ramond scalar must be zero in these configurations.
Abstract
In the present paper we study the most general configuration of intersecting D3/D5 branes in type IIB supergravity satisfying Poincare invariance in the directions common to the branes and SO(3) symmetry in the totally perpendicular directions. The form of these configurations is greatly restricted by the Killing spinor equations and the equations of motion, which among other things, force the Ramond-Ramond scalar to be zero and do not permit the existence of totally localised intersections of this kind.
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