From a Relativistic Point Particle to String Theory

TL;DR

This paper derives classical string theory from a (1+1)-dimensional point-particle action, revealing it as a relativistic top and introducing an extended string theory via quantization, differing from traditional string models.

Contribution

It presents a novel derivation of string theory from a point-particle framework and clarifies the nature of the particle as a relativistic top, leading to an extended string theory.

Findings

Point particle in (1+1)D acts as a relativistic top.

Quantization yields a non-compact group sigma-model, not standard string theory.

Extended string theory differs from conventional models.

Abstract

Using a classical action associated to a point-particle in (1+1)-dimensions the classical string theory is derived. In connection with this result two aspects are clarified: First, the point particle in (1+1)-dimensions is not an ordinary relativistic system, but rather a some kind of a relativistic top; and second, through the quantization of such a kind of top the ordinary string theory is not obtained, but rather a $\sigma$-model associated to a non-compact group which may be understood as an extended string theory.