We find BPS-saturated solutions of $M$ theory and type II string theory which correspond to (nonmarginally) bound states of $p$-branes intersecting at angles different from $\pi /2\mathrm{}$. 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 a nonmarginally 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.

• Received 19 March 1997

DOI:https://doi.org/10.1103/PhysRevD.56.1188