On small tension p-branes

This Letter deals with p-braves with small but non-zero tension. We prove the existence of canonical transformations, within a perturbation theory, that link specific geometries of p-braves to solvable theories, namely string-like and particle-like theories. The specific shapes correspond to stretched configurations. For configurations linked to string-like theories one will upon quantization get a critical dimension of (25 + p). (C) 2008 Published by Elsevier B.V.