BPS-Saturated Bound States of Tilted P-Branes in Type II String Theory

TL;DR

This paper constructs new BPS-saturated bound states of intersecting p-branes at arbitrary angles in Type II string theory using a sequence of dualities and boosts, revealing stable tilted brane configurations.

Contribution

It introduces a novel method to generate non-marginally bound, tilted intersecting p-brane solutions in string theory through duality transformations and boosts.

Findings

Derived explicit tilted intersecting p-brane solutions.

Identified off-diagonal metric terms indicating angles between branes.

Showed stability of these non-marginal bound states.

Abstract

We found BPS-saturated solutions of M-theory and Type II string theory which correspond to (non-marginally) bound states of p-branes intersecting at angles different from pi/2. These solutions are obtained by starting with a BPS marginally bound (orthogonally) intersecting configurations of two p-branes (e.g, two four-branes of Type II string theory), performing a boost transformation at an angle with respect to the world-volume of the configuration, performing T-duality transformation along the boost-direction, S-duality transformation, and T- transformations along the direction perpendicular to the boost transformation. The resulting configuration is non-marginally bound BPS-saturated solution whose static metric possesses the off-diagonal term which cannot be removed by a coordinate transformation, and thus signifies an angle (different from pi/2) between the resulting intersecting p-branes. Additional new p-branes are bound to this configuration, in order to ensure the stability of such a static, tilted configuration.