A continuum string model for $D>1$

TL;DR

This paper develops a continuum string model for dimensions greater than one, modifying previous results to incorporate gauge fixing and achieve a real string tension across various central charges.

Contribution

It introduces a modified quantization approach for non-critical strings that accounts for gauge fixing and yields real string tension for any central charge D.

Findings

Modified classical results of Distler and Kawai.

Achieved real string tension for arbitrary central charge D.

Incorporated gauge fixing with respect to Weyl symmetry.

Abstract

The non critical string (2D gravity coupled to the matter with central charge $D$) is quantized taking care of both diffeomorphism and Weyl symmetries. In incorporating the gauge fixing with respect to the Weyl symmetry, through the condition $R_g=const$, one modifies the classical result of Distler and Kawai. In particular one obtains the real string tension for an arbitrary value of central charge $D$.