On small tension p-branes

TL;DR

This paper investigates p-branes with small tension, establishing canonical transformations that relate their geometries to solvable string-like and particle-like theories, and identifies the critical dimension upon quantization.

Contribution

It introduces a perturbative method to connect small tension p-branes to solvable models via canonical transformations, extending understanding of their geometric and quantum properties.

Findings

Canonical transformations link p-brane geometries to solvable theories.

Quantization of string-like configurations yields a critical dimension of 25+p.

The approach applies to stretched p-brane configurations.

Abstract

This paper deals with p-branes with small but non-zero tension. We prove the existence of canonical transformations, within a perturbation theory, that link specific geometries of p-branes 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).