The measure in three dimensional Nambu-Goto string theory

TL;DR

This paper analyzes the measure in three-dimensional Nambu-Goto string theory, revealing its decomposition into a measure on area-preserving transformations and a trivial measure for surface area.

Contribution

It introduces a simple decomposition of the measure in three-dimensional Nambu-Goto string theory, clarifying its structure in terms of geometric transformations.

Findings

Decomposition of the measure into area-preserving transformations and surface area measure

Simplification of the measure structure in three-dimensional Nambu-Goto string theory

Insight into the geometric nature of the measure in string theory

Abstract

We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations of the immersed surface and a trivial measure for the area of the surface.